J. Lepowsky

发表

Realization of the basic representations of the Euclidean Lie algebras

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

Introduction to Vertex Operator Algebras and Their Representations

J. Lepowsky, Haisheng Li, 2003 .

An E8-approach to the Leech lattice and the Conway group☆

J. Lepowsky, A. Meurman, 1982 .

Vertex Operator Algebras and the Monster

J. Lepowsky, A. Meurman, I. Frenkel, 2011 .

Schedule of Talks

J. McKay, J. Lepowsky, M. Tuite, 2010 .

Encyclopaedia of Mathematics, Supplement III

Konrad Engel, Willy Govaerts, Francisco Marcellán, 2002 .

A theory of tensor products for module categories for a vertex operator algebra, I

J. Lepowsky, Yi-Zhi Huang, 1993, hep-th/9309076.

A theory of tensor products for module categories for a vertex operator algebra, II

J. Lepowsky, Y. Z. Huang, 1993, hep-th/9309159.

A theory of tensor products for module categories for a vertex operator algebra, I

J. Lepowsky, Y. Z. Huang, 1993, hep-th/9309076.

Hyperbolic Lie algebras and quasi-regular cusps on Hilbert modular surfaces

R. Moody, J. Lepowsky, 1979 .

Standard modules for type one affine lie algebras

J. Lepowsky, M. Primc, 1984 .

Intertwining operator algebras and vertex tensor categories for affine Lie algebras

J. Lepowsky, Yi-Zhi Huang, 1997, q-alg/9706028.

Twisted vertex operators and Bernoulli polynomials

B. Doyon, J. Lepowsky, A. Milas, 2003, math/0311151.

The Rogers–Selberg recursions, the Gordon–Andrews identities and intertwining operators

J. Lepowsky, A. Milas, S. Capparelli, 2003, math/0310080.

Structure of the standard modules for the affine Lie algebra A[(1)] [1]

J. Lepowsky, M. Primc, 1985 .

Application of a ‘Jacobi Identity’ for Vertex Operator Algebras to Zeta Values and Differential Operators

J. Lepowsky, 1999, math/9909183.

Lessons from Animal Diabetes VI

I. Gelfand, E. Shafrir, J. Lepowsky, 1996, Rev.Ser.Advs.Research Diab.Animals (Birkhäuser).

Tensor Products of Modules for a Vertex Operator Algebra and Vertex Tensor Categories

J. Lepowsky, Yi-Zhi Huang, 1994, hep-th/9401119.

From the representation theory of vertex operator algebras to modular tensor categories in conformal field theory.

J. Lepowsky, 2005, Proceedings of the National Academy of Sciences of the United States of America.

A LOGARITHMIC GENERALIZATION OF TENSOR PRODUCT THEORY FOR MODULES FOR A VERTEX OPERATOR ALGEBRA

Lin Zhang, J. Lepowsky, Yi-Zhi Huang, 2003, math/0311235.

Affine Lie algebras and vertex tensor categories

J. Lepowsky, Yi-Zhi Huang, 1997 .

Intertwining operator algebras and vertex tensor categories for affine Lie algebras

J. Lepowsky, Yi-Zhi Huang, 1997, q-alg/9706028.

A theory of tensor products for module categories for a vertex operator algebra, II

J. Lepowsky, Y. Z. Huang, 1993, q-alg/9505019.

A new family of algebras underlying the Rogers-Ramanujan identities and generalizations.

J. Lepowsky, R. Wilson, 1981, Proceedings of the National Academy of Sciences of the United States of America.

On Axiomatic Approaches to Vertex Operator Algebras and Modules

James Lepowsky, Yi-Zhi Huang, Igor B. Frenkel, 1993 .

Construction of the affine Lie algebraA1(1)

J. Lepowsky, Robert L. Wilson, 1978 .

Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and their Generalized Modules

Lin Zhang, J. Lepowsky, Yi-Zhi Huang, 2010, 1012.4193.

Logarithmic tensor category theory, VIII: Braided tensor category structure on categories of generalized modules for a conformal vertex algebra

Lin Zhang, J. Lepowsky, Yi-Zhi Huang, 2011, 1110.1931.

Logarithmic tensor category theory, VII: Convergence and extension properties and applications to expansion for intertwining maps

Lin Zhang, J. Lepowsky, Yi-Zhi Huang, 2011, 1110.1929.

Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms

Lin Zhang, J. Lepowsky, Yi-Zhi Huang, 2010, 1012.4202.

Logarithmic tensor category theory, V: Convergence condition for intertwining maps and the corresponding compatibility condition

Lin Zhang, J. Lepowsky, Yi-Zhi Huang, 2010, 1012.4199.

Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions

Lin Zhang, J. Lepowsky, Yi-Zhi Huang, 2010, 1012.4198.

Logarithmic tensor category theory, III: Intertwining maps and tensor product bifunctors

Lin Zhang, J. Lepowsky, Yi-Zhi Huang, 2010, 1012.4197.

Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators

Lin Zhang, J. Lepowsky, Yi-Zhi Huang, 2010, 1012.4196.

Logarithmic tensor product theory for generalized modules for a conformal vertex algebra. Part I

James Lepowsky, Lin Zhang, Yi-Zhi Huang, 2006, math/0609833.

Ghost series and a motivated proof of the Andrews-Bressoud identities

Shashank Kanade, James Lepowsky, Matthew C. Russell, 2014, J. Comb. Theory, Ser. A.

A motivated proof of the Göllnitz–Gordon–Andrews identities

Matthew C. Russell, J. Lepowsky, S. Kanade, 2015, The Ramanujan Journal.

A motivated proof of the Göllnitz–Gordon–Andrews identities

Matthew C. Russell, J. Lepowsky, S. Kanade, 2014, 1411.2044.

A motivated proof of Gordon’s identities

J. Lepowsky, Minxian Zhu, 2012, The Ramanujan Journal.

A motivated proof of Gordon’s identities

J. Lepowsky, Minxian Zhu, 2012, 1205.6570.

Lie Algebras and Combinatorics

J. Lepowsky, 2010 .

Vertex-algebraic structure of the principal subspaces of level one modules for the untwisted affine Lie algebras of types A,D,E

J. Lepowsky, A. Milas, C. Calinescu, 2009, 0908.4054.

A ] 1 7 N ov 2 00 2 The Rogers – Ramanujan recursion and intertwining operators

J. Lepowsky, S. Capparelli, 2008 .

Vertex-algebraic structure of the principal subspaces of certain A_1^(1)-modules, II: higher level case

J. Lepowsky, A. Milas, C. Calinescu, 2007 .

Some developments in vertex operator algebra theory, old and new

J. Lepowsky, 2007, 0706.4072.

Vertex-algebraic structure of the principal subspaces of certain A_1^(1)-modules, I: level one case

J. Lepowsky, A. Milas, C. Calinescu, 2007, 0710.1527.

An equivalence of two constructions of permutation-twisted modules for lattice vertex operator algebras

J. Lepowsky, Yi-Zhi Huang, K. Barron, 2006, math/0609656.

Twisted vertex operators and Bernoulli polynomials

B. Doyon, J. Lepowsky, A. Milas, 2003, math/0311151.

THE ROGERS–RAMANUJAN RECURSION AND INTERTWINING OPERATORS

J. Lepowsky, A. Milas, S. Capparelli, 2002, math/0211265.

The algebraic structure of relative twisted vertex operators

J. Lepowsky, C. Dong, 1996, q-alg/9604022.

Z-Algebras and the Rogers-Ramanujan Identities

J. Lepowsky, Robert L. Wilson, 1985 .

A moonshine module for the Monster

J. Lepowsky, A. Meurman, I. Frenkel, 1985 .

The structure of standard modules, I: Universal algebras and the Rogers-Ramanujan identities

J. Lepowsky, Robert L. Wilson, 1984 .

A lie theoretic interpretation and proof of the Rogers-Ramanujan identities

James Lepowsky, J. Lepowsky, Robert L. Wilson, 1982 .

Affine Lie algebras and combinatorial identities

J. Lepowsky, 1982 .

Application of the numerator formula to k-rowed plane partitions

James Lepowsky, J. Lepowsky, 1980 .

Generalized Verma modules, loop space cohomology and MacDonald-type identities

J. Lepowsky, Scientifiques DE L’É.N.S, 1979 .

The Weyl-Kac character formula and power series identities

J. Lepowsky, A. Feingold, 1978 .

Lie algebraic approaches to classical partition identities

James Lepowsky, S. Milne, J. Lepowsky, 1978 .

Lie algebra homology and the Macdonald-Kac formulas

J. Lepowsky, H. Garland, 1976 .

On the concepts of intertwining operator and tensor product module in vertex operator algebra theory

Lin Zhang, J. Lepowsky, Haisheng Li, 2004, math/0409364.

Generalized vertex algebras and relative vertex operators

James Lepowsky, Chongying Dong, J. Lepowsky, 1993 .

Vertex operator algebras and the zeta function

J. Lepowsky, 1999, math/9909178.

Generalized Verma modules, the Cartan-Helgason theorem, and the Harish-Chandra homomorphism

J. Lepowsky, 1977 .

INTERTWINING OPERATOR FOR Sp(4,R) AND ORTHOGONAL POLYNOMIALS

S. Miller, Zhuohui Zhang, S. Sahi, 2021 .

On the Harish-Chandra homomorphism

J. Lepowsky, 1975 .

The Gelfand Mathematical Seminars, 1990–1992

I. Gelfand, J. Lepowsky, L. Corwin, 1993 .

A natural representation of the Fischer-Griess Monster with the modular function J as character.

J. Lepowsky, A. Meurman, I. Frenkel, 1984, Proceedings of the National Academy of Sciences of the United States of America.

Functional Analysis on the Eve of the 21st Century Volume II

S. Gindikin, J. Lepowsky, Robert L. Wilson, 1996 .

Tensor categories and the mathematics of rational and logarithmic conformal field theory

J. Lepowsky, Yi-Zhi Huang, 2013, 1304.7556.

Calculus of twisted vertex operators.

J. Lepowsky, J Lepowsky, 1985, Proceedings of the National Academy of Sciences of the United States of America.

Vertex operator algebras and operads

J. Lepowsky, Yi-Zhi Huang, 1993, hep-th/9301009.

Vertex operator calculus

J. Lepowsky, A. Meurman, I. Frenkel, 1987 .

Braided Tensor Categories and Extensions of Vertex Operator Algebras

J. Lepowsky, Yi-Zhi Huang, A. Kirillov, 2015, Communications in Mathematical Physics.

Braided Tensor Categories and Extensions of Vertex Operator Algebras

A. Kirillov, J. Lepowsky, Yi-Zhi Huang, 2014, 1406.3420.

On the D -module and formal-variable approaches to vertex algebras

J. Lepowsky, Yi-Zhi Huang, 1996, q-alg/9603020.

Functional Analysis on the Eve of the 21st Century

James Lepowsky, Simon Gindikin, S. Gindikin, 1995 .

Application of a ‘Jacobi Identity’ for Vertex Operator Algebras to Zeta Values and Differential Operators

J. Lepowsky, 1999, math/9909183.

Vertex Operators in Mathematics and Physics

S. Mandelstam, I. Singer, J. Lepowsky, 2013 .

The structure of standard modules

J. Lepowsky, Robert L. Wilson, 1985 .

Friendly Giant Meets Pointlike Instantons? On a New Conjecture by John McKay

J. McKay, J. Lepowsky, M. Tuite, 2010 .

Conical vectors in induced modules

J. Lepowsky, 1975 .

Algebraic results on representations of semisimple Lie groups

J. Lepowsky, 1973 .

A generalization of the Bernstein-Gelfand-Gelfand resolution

J. Lepowsky, 1977 .

Uniqueness of embeddings of certain induced modules

J. Lepowsky, 1976 .

Existence of conical vectors in induced modules

J. Lepowsky, 1975 .

On the determination of irreducible modules by restriction to a subalgebra

G. McCollum, J. Lepowsky, 1973 .

Vertex operator algebras in mathematics and physics

S. Berman, J. Lepowsky, Yi-Zhi Huang, 2003 .

The Gelfand Mathematical Seminars

James Lepowsky, Vladimir Retakh, V. Retakh, 1993 .

Vertex-algebraic structure of principal subspaces of standard A_2^{(2)}-modules, I

J. Lepowsky, A. Milas, C. Calinescu, 2014, 1402.3026.

Twisted modules for vertex operator algebras and Bernoulli polynomials

B. Doyon, J. Lepowsky, A. Milas, 2003, math/0303193.

Finite- and infinite-dimensional representation of linear semisimple groups

N. Wallach, J. Lepowsky, 1973 .

Multiplicity formulas for certain semisimple Lie groups

J. Lepowsky, 1971 .

Minimal K-types for certain representations of real semisimple groups

J. Lepowsky, 1978 .

Realizations of the Monster Lie algebra

J. Lepowsky, Elizabeth Jurisich, R. Wilson, 1994, hep-th/9408037.

On the Injectivity of the Kudla-Millson Lift and Surjectivity of the Borcherds Lift

J. McKay, J. Lepowsky, 2014 .

Algebraic results on representations of semisimple Lie groups

J. Lepowsky, 1973 .

94 08 03 7 v 1 5 A ug 1 99 4 Realizations of the Monster Lie Algebra

J. Lepowsky, Robert L. Wilson, Elizabeth Jurisich, 1995 .

Lectures on Kac-Moody Lie algebras

J. Lepowsky, 1978 .