A. Kirillov

发表

Ubiquity of Kostka polynomials

Anatol N. Kirillov, A. Kirillov, 1999 .

Notes on Schubert, Grothendieck

A. Kirillov, Key Polynomials, 2016 .

Notes on schubert, grothendieck and key polynomials

A. Kirillov, 2015, 1501.07337.

Affine Nil-Hecke Algebras and Braided Differential Structure on Affine Weyl Groups

A. Kirillov, T. Maeno, 2010, 1008.3593.

EXTENDED QUADRATIC ALGEBRA AND A MODEL OF THE EQUIVARIANT COHOMOLOGY RING OF FLAG VARIETIES

A. Kirillov, T. Maeno, 2007, 0712.2580.

Braided differential structure on Weyl groups, quadratic algebras and elliptic functions

A. Kirillov, T. Maeno, 2007, 0709.4599.

Braided differential calculus and quantum Schubert calculus

A. Kirillov, T. Maeno, 2006 .

Generalized Umemura polynomials and Hirota-Miwa equations

A. Kirillov, M. Taneda, 2001, math/0106025.

Generalized Umemura polynomials

A. Kirillov, M. Taneda, 2000, math/0010279.

Yang-Baxter equation, symmetric functions and Grothendieck polynomials

S. Fomin, A. Kirillov, 1993, hep-th/9306005.

Combinatorial Formula for Modified

A. Kirillov, A. Kirillov, 2002 .

A Generalization of the Kostka–Foulkes Polynomials

A. Kirillov, M. Shimozono, A. Kirillov, 1998, math/9803062.

An Invitation to the Generalized Saturation Conjecture

A. Kirillov, A. Kirillov, 2004, math/0404353.

Commutative formal groups

A. Kirillov, A. Kirillov, 1979 .

Affine Hecke algebras and raising operators for Macdonald polynomials

A. Kirillov, M. Noumi, 1996, q-alg/9605004.

Yang-Baxter equation, symmetric functions and Grothendieck polynomials

S. Fomin, A. Kirillov, A. Kirillov, 1993, hep-th/9306005.

NEW COMBINATORIAL FORMULA FOR MODIFIED HALL-LITTLEWOOD POLYNOMIALS

A. Kirillov, A. Kirillov, 1998, math/9803006.

$q$-Difference raising operators for Macdonald polynomials and the integrality of transition coefficients

A. Kirillov, M. Noumi, 1996, q-alg/9605005.

Some Remarks On Nepomechie--Wang Eigenstates For Spin 1/2 XXX Model

A. Kirillov, Reiho Sakamoto, 2014, 1406.1958.

Norms of bound states

V. Korepin, A. Kirillov, 1988 .

Combinatorics and Geometry of Higher Level Weyl Modules

A. Kirillov, B. Feigin, S. Loktev, 2005, math/0503315.

Dilogarithm Identities and Spectra in Conformal Field Theory

A. Kirillov, 1992, hep-th/9211137.

Identities for the Rogers dilogarithm function connected with simple Lie algebras

A. Kirillov, 1989 .

Ubiquity of Kostka polynomials

A. Kirillov, A. Kirillov, 1999, math/9912094.

Bethe's quantum numbers and rigged configurations

A. Kirillov, Reiho Sakamoto, 2015, 1509.02305.

Character formulae of sl̂n-modules and inhomogeneous paths

G. Hatayama, A. Kirillov, A. Kuniba, 1998, math/9802085.

The Yangians, Bethe Ansatz and combinatorics

N. Reshetikhin, A. Kirillov, A. Kirillov, 1986 .

Dilogarithm identities

A. Kirillov, A. Kirillov, 1994, hep-th/9408113.

Normed pairing in a two-dimensional local field

A. Kirillov, S. Vostokov, 1985 .

Singular solutions to the Bethe ansatz equations and rigged configurations

A. Kirillov, Reiho Sakamoto, 2014, 1402.0651.

Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras

N. Reshetikhin, A. Kirillov, A. Kirillov, 1990 .

A Representation of the current algebra connected with the SU(2)-invariant thirring model

A. Kirillov, F. Smirnov, 1987 .

Exact solution of the integrable XXZ Heisenberg model with arbitrary spin. I. The ground state and the excitation spectrum

N. Reshetikhin, A. Kirillov, 1987 .

Exact solution of the Heisenberg XXZ model of spin s

N. Reshetikhin, A. Kirillov, 1986 .

Relationships Between Two Approaches: Rigged Configurations and 10-Eliminations

A. Kirillov, Reiho Sakamoto, 2009, 0902.2286.

Introduction to Tropical Combinatorics

A. Kirillov, A. Kirillov, 2001 .

REPRESENTATIONS Of THE ALGEBRA Uq(sl(2)), q-ORTHOGONAL POLYNOMIALS AND INVARIANTS OF LINKS

N. Reshetikhin, A. Kirillov, A. Kirillov, 1990 .

On Some Quadratic Algebras I 1/2: Combinatorics of Dunkl and Gaudin Elements, Schubert, Grothendieck, Fuss-Catalan, Universal Tutte and Reduced Polynomials

A. Kirillov, A. Kirillov, 2015, 1502.00426.

On some quadratic algebras, Dunkl elements, Schubert, Grothendieck, Tutte and reduced polynomials

A. Kirillov, A. Kirillov, 2014 .

On Some Properties of Robinson-Schensted Correspondence

A. Kirillov, 1991 .

The Bethe Ansatz and the combinatorics of Young tableaux

Anatol N. Kirillov, N. Reshetikhin, A. Kirillov, 1988 .

Combinatorics, Bethe Ansatz, and representations of the symmetric group

Anatol N. Kirillov, S. Kerov, N. Reshetikhin, 1988 .

On the Kostka-Green-Foulkes polynomials and Clebsch-Gordan numbers

A. Kirillov, 1988 .

Generalized Umemura polynomials

A. Kirillov, M. Taneda, 2000, math/0010279.

Determinantal formulas for zonal spherical functions on hyperboloids

J. F. van Diejen, A. Kirillov, 2001 .

Generalized Umemura polynomials and Hirota-Miwa equations

A. Kirillov, M. Taneda, 2001, math/0106025.

q-Weyl group and a multiplicative formula for universalR-matrices

N. Reshetikhin, A. Kirillov, 1990 .

Entanglement in valence-bond-solid states on symmetric graphs

Shu Tanaka, H. Katsura, N. Kawashima, 2010, 1003.2007.

Properties of kernels of integral equations in XXZ models of arbitrary spin

N. Reshetikhin, A. Kirillov, 1988 .

Exact solution of the integrable XXZ Heisenberg model with arbitrary spin. II. Thermodynamics of the system

N. Reshetikhin, A. Kirillov, 1987 .

Skew Young Diagram Method in Spectral Decomposition of Integrable Lattice Models

A. Kirillov, A. Kuniba, T. Nakanishi, 1996, q-alg/9711009.

Physics and combinatorics, 2000 : proceedings of the Nagoya 2000 International Workshop

A. Kirillov, N. Liskova, 2001 .

On some quadratic algebras

A. Kirillov, A. Kirillov, 1997, q-alg/9705003.

Bethe subalgebras in affine Birman–Murakami–Wenzl algebras and flat connections for q-KZ equations

A. Kirillov, V. Tarasov, A. Isaev, 2015, 1510.05374.

FORM FACTORS IN O(3) NONLINEAR σ-MODEL

A. Kirillov, F. Smirnov, 1988 .

Completeness of Bethe's states for the generalized XXZ model

A. Kirillov, N. Liskova, 1994, hep-th/9403107.

Combinatorial identities, and completeness of eigenstates of the Heisenberg magnet

A. Kirillov, 1985 .

Bethe Subalgebras in Hecke Algebra and Gaudin models

A. Kirillov, A. Isaev, A. Kirillov, 2013, 1302.6495.

Bethe Subalgebras in Hecke Algebra and Gaudin models

A. Kirillov, A. Isaev, A. Kirillov, 2013, Letters in Mathematical Physics.

Various representations for the generalized Kostka polynomials

Anne Schilling, Mark Shimozono, Anatol N. Kirillov, 2001 .

A bijection between Littlewood-Richardson tableaux and rigged configurations

Anne Schilling, Mark Shimozono, Anatol N. Kirillov, 1999, math/9901037.

Generalized Energy Statistics and Kostka –

A. Kirillov, Reiho Sakamoto, 2010 .

Generalized Energy Statistics and Kostka--Macdonald Polynomials

A. Kirillov, Reiho Sakamoto, 2009, 0912.2161.

Paths and Kostka –

A. Kirillov, Macdonald Polynomials, Reiho Sakamoto, 2009 .

Paths and Kostka--Macdonald Polynomials

A. Kirillov, Reiho Sakamoto, 2008, 0811.1085.

Classification of the string solutions of Bethe equations in an XXZ model of arbitrary spin

N. Reshetikhin, A. Kirillov, 1988 .

Quadratic Algebras, Dunkl Elements, and Schubert Calculus

Sergey Fomin, Anatol N. Kirillov, S. Fomin, 1999 .

All Russian mathematical portal

A. Kirillov, A. D. Berenstein, 2019 .

The valence bond solid in quasicrystals

V. Korepin, A. Kirillov, 2009, 0909.2211.

A Combinatorial Formula for the Associated Legendre Functions of Integer Degree

J. F. van Diejen, A. Kirillov, 2000 .

On Double Schubert and Grothendieck polynomials for Classical Groups

A. Kirillov, 2015, 1504.01469.

Combinatorial $B_n$-analogues of Schubert polynomials

Sergey Fomin, Anatol N. Kirillov, S. Fomin, 1993, hep-th/9306053.

Quantum double Schubert polynomials, quantum Schubert polynomials and Vafa-Intriligator formula

A. Kirillov, T. Maeno, 1996, Discret. Math..

Quantum Schubert polynomials and the Vafa-Intriligator formula

A. Kirillov, T. Maeno, A. Kirillov, 1996 .

Convex polytopes and formal groups

A. Kirillov, 1987 .

Nichols-Woronowicz model of coinvariant algebra of complex reflection groups

A. Kirillov, T. Maeno, 2007, math/0703748.

A Note on Quantization Operators on Nichols Algebra Model for Schubert Calculus on Weyl groups

A. Kirillov, T. Maeno, 2004, math/0412069.

Noncommutative algebras related with Schubert calculus on Coxeter groups

A. Kirillov, T. Maeno, 2003, Eur. J. Comb..

Quantum Schubert polynomials and Quantum Schur Functions

A. Kirillov, 1997, Int. J. Algebra Comput..

The Yang-Baxter equation, symmetric functions, and Schubert polynomials

Sergey Fomin, Anatol N. Kirillov, S. Fomin, 1996, Discret. Math..

Grothendieck polynomials and the Yang - Baxter equation

Sergey Fomin, Anatol N. Kirillov, S. Fomin, 1994 .

Notes on Schubert , Grothendieck and Key polynomials anatol n . kirillov

A. Kirillov, 2022 .

On some noncommutative algebras related to K-theory of flag varieties, part I

A. Kirillov, T. Maeno, 2005, math/0504290.

On some noncommutative algebras related with K-theory of flag varieties, I

A. Kirillov, T. Maeno, 2005 .

Quantum Grothendieck polynomials

A. Kirillov, 1996, q-alg/9610034.

On the stabilization of the linear hybrid system structure

A. Kirillov, 2014 .

Formulas for q-Spherical Functions Using Inverse Scattering Theory of Reflectionless Jacobi Operators

J. F. van Diejen, A. Kirillov, A. Kirillov, 1998, Communications in Mathematical Physics.

Dilogarithm identities, partitions and spectra in conformal field theory. 1.

A. Kirillov, A. Kirillov, 1992, hep-th/9212150.

Reduced Words and Plane Partitions

Sergey Fomin, Anatol N. Kirillov, S. Fomin, 1997 .

Rigged Configurations and Catalan, Stretched Parabolic Kostka Numbers and Polynomials: Polynomiality, Unimodality and Log-concavity

A. Kirillov, 2015, 1505.01542.

Rigged Configurations and Unimodality

A. Kirillov, 2021, Representation Theory, Mathematical Physics, and Integrable Systems.

Torus knot and minimal model

A. Kirillov, K. Hikami, A. Kirillov, 2003, hep-th/0308152.

Can fusion coefficients be calculated from the depth rule

P. Mathieu, D. Sénéchal, A. Kirillov, 1992, hep-th/9203004.

Hypergeometric generating function of l-function, slater’s identities, and quantum invariant

A. Kirillov, K. Hikami, 2004, math-ph/0406042.

Berenstein-Zelevinsky triangles, elementary couplings, and fusion rules

P. Mathieu, A. Kirillov, M. Walton, 1993, hep-th/9301075.

CLEBSCH-GORDAN AND RACAH-WIGNER COEFFICIENTS FOR Uq(SU(1,1))

A. Kirillov, N. Liskova, A. Kirillov, 1992, hep-th/9212064.

Zeta-function of the monodromy for complete intersection singularities

A. Kirillov, 1984 .