V. Kac

发表

Infinite root systems, representations of graphs and invariant theory

V. Kac, 1980 .

Infinite dimensional Lie algebras: Frontmatter

V. Kac, 1990 .

Realization of the basic representations of the Euclidean Lie algebras

V. Kac, D. Kazhdan, J. Lepowsky, 1981 .

Geometric interpretation of the partition function of 2D gravity

V. Kac, A. Schwarz, 1991 .

Symmetric Quantum Calculus

V. Kac, P. Cheung, 2002 .

A remark on the Conway-Norton conjecture about the "Monster" simple group.

V. Kac, 1980, Proceedings of the National Academy of Sciences of the United States of America.

Local and Non-local Multiplicative Poisson Vertex Algebras and Differential-Difference Equations

V. Kac, A. De Sole, Daniele Valeri, 2018, Communications in Mathematical Physics.

Poisson Λ-brackets for Differential–Difference Equations

V. Kac, A. Sole, Daniele Valeri, 2018, International Mathematics Research Notices.

Quasifinite representations of classical Lie subalgebras of W (1+infinity)

V. Kac, C. Yan, Weiqiang Wang, 1998, math/9801136.

Some properties of generalized Cartan matrices

V. Kac, 1983 .

Integrable representations and the Weyl group of a Kac-Moody algebra

V. Kac, 1983 .

Superconformal current algebras and their unitary representations

V. Kac, I. Todorov, 1985 .

An operadic approach to vertex algebra and Poisson vertex algebra cohomology

V. Kac, A. De Sole, Reimundo Heluani, 2018, Japanese Journal of Mathematics.

Addendum: Generalized Spencer Cohomology and Filtered Deformations of Z-graded Lie Superalgebras

V. Kac, Shun-Jen Cheng, 1998, math/9805039.

Basic representations of affine Lie algebras and dual resonance models

V. Kac, I. Frenkel, 1980 .

Affine Orbifolds and Rational Conformal Field Theory Extensions of W1+∞

V. Kac, I. Todorov, 1996, hep-th/9612078.

On Dynkin Gradings in Simple Lie Algebras

V. Kac, M. Jibladze, A. Elashvili, 2018, Representations and Nilpotent Orbits of Lie Algebraic Systems.

Characters and Fusion Rules for W -Algebras via Quantized Drinfeld-Sokolov Reduction

V. Kac, E. Frenkel, M. Wakimoto, 1995 .

On exceptional nilpotents in semisimple Lie algebras

È. Vinberg, V. Kac, A. Elashvili, 2008, 0812.1571.

2 M ay 2 01 2 Cyclic elements in semisimple Lie algebras

È. Vinberg, V. Kac, A. Elashvili, 2022 .

Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras

V. Kac, A. K. Raina, N. Rozhkovskaya, 1983 .

Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras

V. Kac, F. Caselli, Nicoletta Cantarini, 2020, 2003.01015.

Contravariant form for infinite-dimensional Lie algebras and superalgebras

V. Kac, 1979 .

Integrable Highest Weight Modules over Affine Superalgebras and Appell's Function

V. Kac, M. Wakimoto, 2000, math-ph/0006007.

Vacuum structure in supersymmetric Yang--Mills theories with any gauge group

V. Kac, A. Smilga, 1999, hep-th/9902029.

Classification of infinite-dimensional simple groups of supersymmetries and quantum field theory

V. Kac, 1999, math/9912235.

Theory of Finite Pseudoalgebras

V. Kac, A. D'Andrea, B. Bakalov, 2000, math/0007121.

Affine Lie algebras and Hecke modular forms

V. Kac, D. Peterson, 1980 .

Yangians vs minimal W-algebras: a surprizing coincidence

V. Kac, P. M. Frajria, P. Papi, 2019, 1912.07404.

A differential analog of a theorem of Chevalley

V. Kac, 2001, math/0101210.

Spin and . wedge representations of infinite-dimensional Lie . algebras . and groups

V. Kac, Dale H. PETERSONt, 2022 .

Integrable Highest Weight Modules over Affine Superalgebras and Number Theory

V. Kac, M. Wakimoto, 1994, hep-th/9407057.

Constructing Groups Associated to Infinite-Dimensional Lie Algebras

V. Kac, 1985 .

Laplace operators of infinite-dimensional Lie algebras and theta functions.

V. Kac, 1984, Proceedings of the National Academy of Sciences of the United States of America.

Classification of supersymmetries

V. Kac, 2003, math-ph/0302016.

Generalized Vertex Algebras

V. Kac, B. Bakalov, 2006, math/0602072.

Infinite flag varieties and conjugacy theorems.

V. Kac, D. Peterson, 1983, Proceedings of the National Academy of Sciences of the United States of America.

Alexandre Mikhailovich Vinogradov

A. Veselov, V. Kac, V. Maslov, 2020, Russian Mathematical Surveys.

Vertex algebras for beginners

V. Kac, 1997 .

W_{1+\infty} and W(gl_N) with central charge N

V. Kac, E. Frenkel, Weiqiang Wang, 1994, hep-th/9405121.

Moduli spaces of curves and representation theory

V. Kac, C. Procesi, E. Arbarello, 1988 .

Some problems on infinite dimensional lie algebras and their representations

V. Kac, 1982 .

Classification of modular invariant representations of affine algebras

V. Kac, 1989 .

A new class of unitarizable highest weight representations of infinite-dimensional Lie algebras, II

V. Kac, H. Jakobsen, 1989 .

Infinite Dimensional Lie Algebras

V. Kac, 1983 .

The principal realization of the basic representation. Application to the KdV-type hierarchies of non-linear partial differential equations

V. Kac, 1983 .

Infinite-dimensional algebras, Dedekind's η-function, classical möbius function and the very strange formula

V. Kac, 1978 .

SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH

V. Kac, 1968 .

with central chargeN

V. Kac, E. Frenkel, Weiqiang Wang, 1995 .

Branching functions for winding subalgebras and tensor products

V. Kac, M. Wakimoto, 1990 .

Infinite-dimensional Lie algebras, theta functions and modular forms

V. Kac, D. Peterson, 1984 .

Spin and wedge representations of infinite-dimensional Lie algebras and groups.

V. Kac, D. Peterson, 1981, Proceedings of the National Academy of Sciences of the United States of America.

An elucidation of "Infinite dimensional algebras. . .and the very strange formula

V. Kac, 1980 .

ON COMPLETE REDUCIBILTY FOR INFINITE-DIMENSIONAL LIE ALGEBRAS

V. Kac, 2010 .

On complete reducibility for infinite-dimensional Lie algebras

V. Kac, M. Gorelik, 2009, 0905.0893.

Characters of highest weight modules over affine Lie algebras are meromorphic functions

V. Kac, M. Gorelik, 2007, 0704.2876.

Structure of representations with highest weight of infinite-dimensional Lie algebras☆

David Kazhdan, Victor G. Kac, V. Kac, 1979 .

Corrections to the book ``Vertex algebras for beginners'', second edition, by Victor Kac

V. Kac, 1999, math/9901070.

Freely Generated Vertex Algebras and Non–Linear Lie Conformal Algebras

V. Kac, A. Sole, 2003, math-ph/0312042.

Quasifinite Representations of Classical Lie Subalgebras of W1

V. Kac, C. Yan, Weiqiang Wang, 1998 .

Structure theory of finite conformal algebras

V. Kac, A. D'Andrea, 1998 .

Quasifinite representations of classical Lie subalgebras of W (1+infinity)

V. Kac, C. Yan, Weiqiang Wang, 1998, math/9801136.

Superconformal current algebras and their unitary representations

V. Kac, I. Todorov, 1986 .

The n-Component KP Hierarchy and Representation Theory

V. Kac, J. Leur, 1993, hep-th/9308137.

Unitary Quasi-finite Representations of W∞

V. Kac, J. I. Liberati, 2000 .

Quasifinite Representations of W ∞

V. Kac, J. I. Liberati, 1999 .

Affine Orbifolds and Rational Conformal Field Theory Extensions of W1+∞

V. Kac, I. Todorov, 1996, hep-th/9612078.

Representation theory of the vertex algebraW1+∞

V. Kac, A. Radul, 1996 .

Representation theory of the vertex algebra $W_{1 + \infty}$

V. Kac, A. Radul, 1995, hep-th/9512150.

Quasifinite highest weight modules over the Lie algebra of differential operators on the circle

V. Kac, A. Radul, Andrey Radul, 1993, hep-th/9308153.

On geometric invariant theory for infinite-dimensional groups

V. Kac, D. Peterson, 1987 .

A sketch of Lie superalgebra theory

V. Kac, 1977 .

Classification of Simple Linearly Compact n-Lie Superalgebras

V. Kac, N. Cantarini, 2009, 0909.3284.

Infinite dimensional Lie algebras and groups : proceedings of the conference held at CIRM, Luminy, Marseille, July 4-8, 1988

Victor G. Kac, Groups, Groups, 1989 .

On automorphisms of Kac-Moody algebras and groups

V. Kac, S. Wang, 1992 .

Unitary structure in representations of infinite-dimensional groups and a convexity theorem

V. Kac, D. Peterson, 1984 .

Regular Functions on Certain Infinite-dimensional Groups

V. Kac, D. Peterson, 1983 .

Representations of quantum groups at roots of 1

V. Kac, C. Deconcini, C. Concini, 1992 .

Representations of classical lie superalgebras

Victor G. Kac, V. Kac, 1978 .

Computation of cohomology of vertex algebras

V. Kac, A. De Sole, B. Bakalov, 2020, Japanese Journal of Mathematics.

Computation of cohomology of Lie conformal and Poisson vertex algebras

V. Kac, A. De Sole, B. Bakalov, 2019, Selecta Mathematica.

Poisson vertex algebras in the theory of Hamiltonian equations

V. Kac, A. Sole, A. Barakat, 2009, 0907.1275.

Lie Conformal Algebra Cohomology and the Variational Complex

V. Kac, A. Sole, 2008, 0812.4897.

Field Algebras

V. Kac, B. Bakalov, 2002, math/0204282.

Cohomology of Conformal Algebras

V. Kac, A. Voronov, B. Bakalov, 1998, math/9803022.

Conformal Modules

V. Kac, Shun-Jen Cheng, 1997, q-alg/9706030.

Modular and conformal invariance constraints in representation theory of affine algebras

V. Kac, M. Wakimoto, 1988 .

Modular invariant representations of infinite-dimensional Lie algebras and superalgebras.

V. Kac, M. Wakimoto, 1988, Proceedings of the National Academy of Sciences of the United States of America.

Characters of typical representations of classical lie superalgebras

Victor G. Kac, V. Kac, 1977 .

Classification of linearly compact simple Jordan and generalized Poisson superalgebras

V. Kac, N. Cantarini, 2006, math/0608390.

Classification of linearly compact simple Nambu-Poisson algebras

V. Kac, N. Cantarini, 2015, 1511.04957.

Algebraic vs physical N = 6 3-algebras

V. Kac, N. Cantarini, 2013, 1309.7746.

Classification of linearly compact simple algebraic N = 6 3-algebras

V. Kac, N. Cantarini, 2011 .

Classification of linearly compact simple N=6 3-algebras

V. Kac, N. Cantarini, 2010, 1010.3599.

Classification of Linearly Compact Simple Rigid Superalgebras

V. Kac, N. Cantarini, 2009, 0909.3100.

Automorphisms and Forms of Simple Infinite-Dimensional Linearly Compact Lie Superalgebras

V. Kac, N. Cantarini, 2006, math/0601292.

Infinite-dimensional primitive linearly compact Lie superalgebras

V. Kac, N. Cantarini, 2005, math/0511424.

Classification of finite simple Lie conformal superalgebras

V. Kac, D. Fattori, 2001, math-ph/0106002.

Classification of Infinite-Dimensional Simple Linearly Compact Lie Superalgebras☆

V. Kac, 1998 .

On the super-KP hierachy

V. Kac, E. Medina, V. Kac, 1996 .

112 CONSTRUCTIONS OF THE BASIC REPRESENTATION OF THE LOOP GROUP OF E(8)

V. Kac, D. Peterson, 1986 .

Infinite Dimensional Lie Algebras: An Introduction

V. Kac, 1988 .

Infinite dimensional groups with applications

Victor G. Kac, V. Kac, 1985 .

Classical W-algebras and Drinfeld-Sokolov bi-Hamiltonian systems within the theory of Poisson vertex algebras

V. Kac, A. Sole, Daniele Valeri, 2012 .

Classical $${\mathcal{W}}$$W -Algebras and Generalized Drinfeld-Sokolov Bi-Hamiltonian Systems Within the Theory of Poisson Vertex Algebras

V. Kac, A. De Sole, Daniele Valeri, 2012, 1207.6286.

Twisted Modules over Lattice Vertex Algebras

V. Kac, B. Bakalov, 2004, math/0402315.

The geometry of spinors and the multicomponent BKP and DKP hierarchies

V. Kac, J. Leur, 1997, solv-int/9706006.

Erratum: ``Superconformal current algebras and their unitary representations''

V. Kac, I. Todorov, 1986 .

Quantum Reduction for Affine Superalgebras

V. Kac, M. Wakimoto, S. Roan, 2003, math-ph/0302015.

Classification of S up er symmetries

V. Kac, 2002 .

On integrability of some bi-Hamiltonian two field systems of partial differential equations

V. Kac, A. Sole, R. Turhan, 2014, 1405.1349.

Local and Non-local Multiplicative Poisson Vertex Algebras and Differential-Difference Equations

V. Kac, A. De Sole, Daniele Valeri, 2019, Communications in Mathematical Physics.

Euler-Maclaurin Formula

V. Kac, P. Cheung, 2002 .

Vertex Operator Superalgebras and Their Representations

V. Kac, Weiqiang Wang, 1993, hep-th/9312065.

1 2 Fe b 20 04 Solitons in Affine and Permutation Orbifolds

V. Kac, R. Longo, Fengjun Xu, 2008 .

Solitons in Affine and Permutation Orbifolds

V. Kac, R. Longo, Fengjun Xu, 2003, math/0312512.

Representations of affine superalgebras and mock theta functions. III

V. Kac, M. Wakimoto, 2013, 1505.01047.

Characters and fusion rules forW-algebras via quantized Drinfeld-Sokolov reduction

Edward Frenkel, Minoru Wakimoto, Victor G. Kac, 1992 .

Structure of some categories of representations of infinite-dimensional lie algebras

O. Gabber, V. Kac, Vinay V. Deodhar, 1982 .

Supersymmetric Vertex Algebras

V. Kac, Reimundo Heluani, 2006, math/0603633.

Quantum reduction and representation theory of superconformal algebras

V. Kac, M. Wakimoto, 2003, math-ph/0304011.

Introduction to vertex algebras, Poisson vertex algebras, and integrable Hamiltonian PDE

V. Kac, 2015, 1512.00821.

Normalized vacuum states in N=4 supersymmetric Yang–Mills quantum mechanics with any gauge group

V. Kac, A. Smilga, 1999, hep-th/9908096.

On simplicity of vacuum modules

V. Kac, M. Gorelik, 2006, math-ph/0606002.

IRREDUCIBLE MODULES OVER FINITE SIMPLE LIE PSEUDOALGEBRAS I. PRIMITIVE PSEUDOALGEBRAS OF TYPE W AND S BOJKO BAKALOV, ALESSANDRO D’ANDREA, AND VICTOR G. KAC

V. Kac, A. D'Andrea, Ontents, 2011 .

Irreducible Modules over Finite Simple Lie Pseudoalgebras II. Primitive Pseudoalgebras of Type K

V. Kac, A. D'Andrea, B. Bakalov, 2010, 1003.6055.

Finite-dimensional representations of quantum affine algebras at roots of unity

V. Kac, J. Beck, 1994, hep-th/9410189.

Geometric interpretation of the partition function of 2 D gravity

V. Kac, 2002 .

A Lax type operator for quantum finite W-algebras

V. Kac, A. De Sole, Daniele Valeri, 2018, Selecta Mathematica.

A Lax type operator for quantum finite W-algebras

V. Kac, A. De Sole, Daniele Valeri, 2017, Selecta Mathematica.

Integrable Hamiltonian Hierarchies for Classical Lie Algebras

V. Kac, A. Sole, Daniele Valeri, 2018 .

Classical Affine W -Algebras and the Associated Integrable Hamiltonian Hierarchies for Classical Lie Algebras

V. Kac, Daniele Valeri, 2018 .

Classical Affine $${\mathcal W}$$W-Algebras and the Associated Integrable Hamiltonian Hierarchies for Classical Lie Algebras

V. Kac, A. De Sole, Daniele Valeri, 2017, 1705.10103.

Finite W-algebras for glN

V. Kac, A. Sole, Daniele Valeri, 2016, 1605.02898.

Classical W-algebras within the theory of Poisson vertex algebras

V. Kac, A. Sole, Daniele Valeri, 2014, 1401.2082.

On the classification of subalgebras of CendN and gcN

V. Kac, C. Boyallian, J. I. Liberati, 2003 .

Unitarizable highest weight representations of the Virasoro, Neveu-Schwarz and Ramond algebras

V. Kac, M. Wakimoto, 1986 .

Some algebraic properties of differential operators

V. Kac, A. Sole, Sylvain Carpentier, 2012, 1201.1992.

Some quantum analogues of solvable Lie groups

V. Kac, C. Procesi, C. Concini, 1993, hep-th/9308138.

Some remarkable degenerations of quantum groups

V. Kac, C. Procesi, C. Concini, 1993 .

The stability of vacua in two-dimensional gauge theory

V. Kac, J. Troost, 2000, hep-th/0010289.

Polynomial tau-functions of BKP and DKP hierarchies

V. Kac, J. W. van de Leur, 2018, Journal of Mathematical Physics.

Polynomial Tau-Functions for the Multicomponent KP Hierarchy

V. Kac, J. Leur, 2019, Publications of the Research Institute for Mathematical Sciences.

Polynomial tau-functions of the KP, BKP, and the s-component KP hierarchies

V. Kac, N. Rozhkovskaya, J. W. van de Leur, 2020, 2005.02665.

Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions

V. Kac, J. W. van de Leur, 2018, Japanese Journal of Mathematics.

Defining relations of certain infinite-dimensional groups

V. Kac, D. Peterson, 1984 .

Errata to "Structure of Some ℤ-graded Lie Superalgebras of Vector Fields''

V. Kac, Shun-Jen Cheng, N. Cantarini, 2004 .

Structure of some ℤ-graded lie superalgebras of vector fields

V. Kac, Shun-Jen Cheng, 1999 .

Finite linear groups whose ring of invariants is a complete intersection

V. Kac, Kei-ichi Watanabe, 1982 .

The n-Compo ne nt KP Hierarchy a nd Represe ntatio n Theory

V. Kac, J. Leur, 1993 .

Non-Archimedean Vertex Algebras

V. Kac, 2023, 2304.09651.

On Rationality of W-algebras

V. Kac, M. Wakimoto, 2007, 0711.2296.

On the classification of subalgebras of Cend_N and gc_N

V. Kac, C. Boyallian, J. I. Liberati, 2002, math-ph/0203022.

On integral representations of $q$-gamma and $q$-beta functions

Alberto De Sole, V. Kac, A. Sole, 2003, math/0302032.

Some remarks on non-commutative principal ideal rings

V. Kac, A. Sole, Sylvain Carpentier, 2013, 1305.0380.

Non-local Poisson structures and applications to the theory of integrable systems

V. Kac, A. Sole, 2012, 1302.0148.

Rational matrix pseudodifferential operators

V. Kac, A. Sole, Sylvain Carpentier, 2012, Selecta Mathematica.

Root systems, representations of quivers and invariant theory

Victor G. Kac, V. Kac, 1983 .

Some remarks on representations of quivers and infinite root systems

V. Kac, 1980 .

Singular Degree of a Rational Matrix Pseudodifferential Operator

V. Kac, A. Sole, Sylvain Carpentier, 2013, 1308.2647.

Dirac Reduction for Poisson Vertex Algebras

V. Kac, A. De Sole, Daniele Valeri, 2013, 1306.6589.

Non-local Hamiltonian structures and applications to the theory of integrable systems I

V. Kac, A. Sole, 2012, 1210.1688.

Finite vs affine W-algebras

V. Kac, A. Sole, 2005, math-ph/0511055.

The in?nite wedge representation and the reciprocity law for algebraic curves

V. Kac, C. Deconcini, E. Arbarello, 1987 .

Torsion in cohomology of compact Lie groups and Chow rings of reductive algebraic groups

Victor G. Kac, V. Kac, 1985 .

EXPONENTIALS IN LIE ALGEBRAS OF CHARACTERISTIC ρ

V. Kac, Udc, B. Ju, 2005 .

EXPONENTIALS IN LIE ALGEBRAS OF CHARACTERISTIC p

V. Kac, B. J. Veisfeiler, 1971 .

ON THE CLASSIFICATION OF SIMPLE LIE ALGEBRAS OVER A FIELD OF NONZERO CHARACTERISTIC

V. Kac, G. M. Melikyan, 1970 .

Subregular nilpotent orbits and explicit character formulas for modules over affine Lie algebras

V. Kac, R. Bezrukavnikov, V. Krylov, 2022, Pure and Applied Mathematics Quarterly.

The variational Poisson cohomology

V. Kac, A. De Sole, Alberto De Sole, 2011, 1106.0082.

Essential Variational Poisson Cohomology

V. Kac, A. De Sole, 2012, Communications in Mathematical Physics.

Essential Variational Poisson Cohomology

V. Kac, A. De Sole, 2011, 1106.5882.

Some remarks on nilpotent orbits

Victor G. Kac, V. Kac, 1980 .

Poisson Structure for Restricted Lie Algebras

V. Kac, A. Radul, 2000 .

SOME QUANTUM ANALOGUES OF SOLVABLE LIE

V. Kac, G. Concini, C. ProcesiIntroduction, 1992 .

Coadjoint action of a semi-simple algebraic group and the center of the enveloping algebra in characteristic p

B. Weisfeiler, V. Kac, 1976 .

On complexity of representations of quivers

V. Kac, 2019, Comptes Rendus Mathematique.

A NOTE ON 2-DIMENSIONAL ARITHMETIC SYMBOLS ON Gl ( n , Σ S )

V. Kac, E. Arbarello, C. Concini, 2007 .

Infinite root systems, representations of graphs and invariant theory, II

V. Kac, 1982 .

Algebras, Representations and Applications

V. Kac, V. Futorny, E. Zelmanov, 2009 .

Denominator formulas for Lie superalgebras (extended abstract)

V. Kac, P. Papi, 2010 .

A ] 4 F eb 2 00 6 Generalized Vertex Algebras

V. Kac, B. Bakalov, 2006 .

A remark on boundary level admissible representations

V. Kac, M. Wakimoto, 2016, 1612.07423.

Conformal embeddings of affine vertex algebras in minimal W-algebras II: decompositions

V. Kac, Dražen Adamović, Ozren Perše, 2016, 1604.00893.

Conformal embeddings of affine vertex algebras in minimal W-algebras I: Structural results

V. Kac, Dražen Adamović, Ozren Perše, 2016, 1602.04687.

Finite vs. Infinite Decompositions in Conformal Embeddings

V. Kac, Dražen Adamović, Ozren Perše, 2015, 1509.06512.

Conformal Embeddings and Simple Current Extensions

V. Kac, Fengjun Xu, P. M. Frajria, 2012, 1210.6602.

Simple graded algebras of finite growth

V. Kac, 1967 .

On E 10

V. Kac, R. Moody, M. Wakimoto, 1988 .

Highest Weight Representations of Infinite-Dimensional Lie Algebras

V. Kac, 2010 .

Kostant Pairs of Lie Type and Conformal Embeddings

V. Kac, Dražen Adamović, Ozren Perše, 2018, Springer INdAM Series.

On the classification of non-equal rank affine conformal embeddings and applications

V. Kac, Dražen Adamović, Ozren Perše, 2018, Selecta Mathematica.

On the classification of non-equal rank affine conformal embeddings and applications

V. Kac, Dražen Adamović, Ozren Perše, 2017, 1702.06089.

Finite vs. Infinite Decompositions in Conformal Embeddings

V. Kac, Dražen Adamović, Ozren Perše, 2016, Communications in Mathematical Physics.

Decomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of Z2-graded Lie algebras

V. Kac, P. Cellini, P. M. Frajria, 2005, math-ph/0506043.

a simple Lie algebra of classical type and semisimple

V. Kac, Ozren Perše, P. M. Frajria, 2018 .

Classical Affine $${\mathcal{W}}$$W-Algebras for $${\mathfrak{gl}_N}$$glN and Associated Integrable Hamiltonian Hierarchies

V. Kac, A. De Sole, Daniele Valeri, 2015, 1509.06878.

Cyclic elements in semisimple lie algebras

È. Vinberg, V. Kac, A. Elashvili, 2013, Transformation Groups.

Cyclic elements in semisimple lie algebras

È. Vinberg, V. Kac, A. Elashvili, 2012, Transformation Groups.

Integrable Hamiltonian Hierarchies

V. Kac, A. Sole, Daniele Valeri, 2016 .

On the structure of quantum vertex algebras

V. Kac, A. De Sole, M. Gardini, 2019, Journal of Mathematical Physics.

Trace functions of the parafermion vertex operator algebras

V. Kac, C. Dong, Li Ren, 2018, Advances in Mathematics.

An Application of Collapsing Levels to the Representation Theory of Affine Vertex Algebras

V. Kac, Dražen Adamović, Ozren Perše, 2018, International Mathematics Research Notices.

Orbifolds of Lattice Vertex Algebras

V. Kac, I. Todorov, B. Bakalov, 2022, 2210.11936.

Invariant Hermitian forms on vertex algebras

V. Kac, P. M. Frajria, P. Papi, 2020, Communications in Contemporary Mathematics.

Differential conformal superalgebras and their forms

V. Kac, A. Pianzola, Michael Lau, 2008, 0805.4243.

Representations of simple finite Lie conformal superalgebras of type $W$ and $S$.

V. Kac, C. Boyallian, J. I. Liberati, 2006, 1003.4416.

Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle

V. Kac, C. Yan, C. Boyallian, 1998 .

Formal distribution algebras and conformal algebras

V. Kac, 1997, q-alg/9709027.

The idea of locality

V. Kac, 1997, q-alg/9709008.

70 90 08 v 1 2 S ep 1 99 7 The idea of locality

V. Kac, 1997 .

Quantum Reduction in the Twisted Case

V. Kac, M. Wakimoto, 2004, math-ph/0404049.

Structure of classical (finite and affine) W-algebras

V. Kac, A. Sole, Daniele Valeri, 2014, 1404.0715.

A New Scheme of Integrability for (bi)Hamiltonian PDE

V. Kac, A. De Sole, Daniele Valeri, 2015, 1508.02549.

Classical $${\mathcal{W}}$$W-Algebras and Generalized Drinfeld–Sokolov Hierarchies for Minimal and Short Nilpotents

V. Kac, A. Sole, Daniele Valeri, 2013, 1306.1684.

A New Approach to the Lenard–Magri Scheme of Integrability

V. Kac, A. De Sole, R. Turhan, 2013, 1303.3438.

On classification of poisson vertex algebras

V. Kac, A. Sole, M. Wakimoto, 2010, 1004.5387.

Erratum to: Classical W-Algebras and Generalized Drinfeld–Sokolov Hierarchies for Minimal and Short Nilpotents (Commun. Math. Phys., (2014), 331, (623-676), 10.1007/s00220-014-2049-2)

V. Kac, A. Sole, Daniele Valeri, 2014 .

On the Kernel of the affine Dirac operator

V. Kac, P. M. Frajria, P. Papi, 2008, 0804.3495.

Non-local Poisson structures and applications to the theory of integrable systems

V. Kac, A. De Sole, 2013, Japanese Journal of Mathematics.

Èrnest Borisovich Vinberg

D. V. Alekseevsky, M. V. Belolipetsky, S. G. Gindikin, 2021, Russian Mathematical Surveys.

Highest weight modules over the Lie algebra g(A)

V. Kac, 1983 .

Affine Lie algebras: the realization (case k=1)

V. Kac, 1983 .

Description of Filtered Lie Algebras with which Graded Lie Algebras of CARTAN Type are Associated

V. Kac, 1974 .

Classical and variational Poisson cohomology

Bojko Bakalov, Alberto De Sole, Reimundo Heluani, 2021, Japanese Journal of Mathematics.

Poisson Vertex Algebra Cohomology and Differential Harrison Cohomology

V. Kac, A. Sole, B. Bakalov, 2019, Representation Theory, Mathematical Physics, and Integrable Systems.

Infinite Dimensional Lie Algebras

V. Kac, 1983 .

Poisson vertex algebras and Hamiltonian PDE

V. Kac, A. Sole, Daniele Valeri, 2023, 2306.09709.

Double Poisson vertex algebras and non-commutative Hamiltonian equations

V. Kac, A. Sole, Daniele Valeri, 2014, 1410.3325.

Γ-conformal algebras

V. Kac, M. Golenishcheva-Kutuzova, 1997, q-alg/9709006.

Chiral Versus Classical Operad

V. Kac, A. Sole, Reimundo Heluani, 2020 .

Chiral vs classical operad

V. Kac, A. Sole, Reimundo Heluani, 2018, 1812.05972.

q-Gamma and q-Beta Functions

V. Kac, P. Cheung, 2002 .

Non-negative integer linear congruences

R. Stanley, V. Kac, J. Dixmier, 2005 .

Cyclic elements in semisimple lie algebras

V. Kac, E. Vinberg, Citation Elashvili, 2022 .

q-Trigonometric Functions

V. Kac, P. Cheung, 2002 .

Real and imaginary roots

V. Kac, 1983 .

On defining relations of certain infinite-dimensional Lie algebras

O. Gabber, V. Kac, 1981 .

SEMISIMPLE CYCLIC ELEMENTS IN SEMISIMPLE LIE ALGEBRAS

V. Kac, M. Jibladze, A. Elashvili, 2020, Transformation Groups.

SEMISIMPLE CYCLIC ELEMENTS IN SEMISIMPLE LIE ALGEBRAS

V. Kac, M. Jibladze, A. Elashvili, 2019, Transformation Groups.

Affine Lie algebras, theta functions and modular forms

V. Kac, 1983 .

Classical and variational Poisson cohomology

V. Kac, Reimundo Heluani, B. Bakalov, 2021, Japanese Journal of Mathematics.

An operadic approach to vertex algebra and Poisson vertex algebra cohomology

V. Kac, Reimundo Heluani, B. Bakalov, 2018, Japanese Journal of Mathematics.