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## Lepowsky, James

Compute Distance To:
 Author ID: lepowsky.james Published as: Lepowsky, James; Lepowsky, J.; Lepowsky, Jim External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 102 Publications since 1971, including 13 Books Biographic References: 5 Publications
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#### Co-Authors

 28 single-authored 19 Huang, Yi-Zhi 12 Wilson, Robert Lee 8 Frenkel, Igor B. 8 Meurman, Arne 8 Milas, Antun 4 Calinescu, Corina 3 Dong, Chongying 3 Primc, Mirko 2 Barron, Katrina 2 Capparelli, Stefano 2 Doyon, Benjamin 2 Garland, Howard 2 Gel’fand, Israil’ Moiseevich 2 Gindikin, Simon Grigorevich 2 Kanade, Shashank 2 Li, Haisheng 2 McCollum, G. W. 2 Milne, Stephen C. 2 Russell, Matthew C. 1 Berman, Stephen 1 Billig, Yuly 1 Corwin, Lawrence J. 1 Coulson, Bud 1 Deodhar, Vinay V. 1 Feingold, Alex Jay 1 Flato, Moshé 1 Jurisich, Elizabeth 1 Kac, Victor G. 1 Kazhdan, David A. 1 Kirillov, Alexander A. jun. 1 Lindenstrauss, Joram 1 Mandelstam, Stanley 1 Manin, Yuri Ivanovich 1 McKay, John 1 McRae, Robert 1 Milnor, John Willard 1 Moody, Robert Vaughan 1 Qi, Fei 1 Reshetikhin, Nikolai Yu. 1 Sadowski, Christopher M. 1 Sally, Paul J. jun. 1 Sills, Andrew V. 1 Singer, Isadore M. 1 Smirnov, Mikhail M. 1 Tuite, Michael P. 1 Wallach, Nolan Russell 1 Yang, Jinwei 1 Zhu, Minxian 1 Zuckerman, Gregg J.
all top 5

#### Serials

 8 Transactions of the American Mathematical Society 7 Journal of Algebra 6 Advances in Mathematics 6 Proceedings of the National Academy of Sciences of the United States of America 5 Journal of Pure and Applied Algebra 4 Progress in Mathematics 3 Inventiones Mathematicae 3 International Journal of Mathematics 3 Selecta Mathematica. New Series 3 The Ramanujan Journal 2 Communications in Mathematical Physics 2 Proceedings of the American Mathematical Society 2 Communications in Contemporary Mathematics 2 Contemporary Mathematics 1 Letters in Mathematical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Journal of Combinatorial Theory. Series A 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Notices of the American Mathematical Society 1 Annals of Mathematics. Second Series 1 Bulletin of the American Mathematical Society 1 Fields Institute Communications 1 London Mathematical Society Lecture Note Series 1 Mathematical Sciences Research Institute Publications 1 Journal of Physics A: Mathematical and Theoretical
all top 5

#### Fields

 94 Nonassociative rings and algebras (17-XX) 22 Number theory (11-XX) 22 Quantum theory (81-XX) 16 Combinatorics (05-XX) 15 Group theory and generalizations (20-XX) 15 Topological groups, Lie groups (22-XX) 8 General and overarching topics; collections (00-XX) 6 Associative rings and algebras (16-XX) 6 Category theory; homological algebra (18-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

88 Publications have been cited 3,636 times in 1,496 Documents Cited by Year
Vertex operator algebras and the monster. Zbl 0674.17001
Frenkel, Igor; Lepowsky, James; Meurman, Arne
1988
On axiomatic approaches to vertex operator algebras and modules. Zbl 0789.17022
Frenkel, Igor B.; Huang, Yi-Zhi; Lepowsky, James
1993
Introduction to vertex operator algebras and their representations. Zbl 1055.17001
Lepowsky, James; Li, Haisheng
2004
Generalized vertex algebras and relative vertex operators. Zbl 0803.17009
Dong, Chongying; Lepowsky, James
1993
Construction of the affine Lie algebra $$A^{(1)}_1$$. Zbl 0388.17006
Lepowsky, James; Wilson, Robert Lee
1978
Lie algebra homology and the Macdonald-Kac formulas. Zbl 0358.17015
Garland, Howard; Lepowsky, James
1976
The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities. Zbl 0577.17009
Lepowsky, James; Wilson, Robert Lee
1984
Calculus of twisted vertex operators. Zbl 0579.17010
Lepowsky, J.
1985
A natural representation of the Fischer-Griess monster with the modular function J as character. Zbl 0543.20016
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
1984
A generalization of the Bernstein-Gelfand-Gelfand resolution. Zbl 0381.17006
Lepowsky, J.
1977
Realization of the basic representations of the Euclidean Lie algebras. Zbl 0476.17003
Kac, V. G.; Kazhdan, D. A.; Lepowsky, J.; Wilson, R. L.
1981
Lie algebraic approaches to classical partition identities. Zbl 0384.10008
Lepowsky, J.; Milne, S.
1978
A theory of tensor products for module categories for a vertex operator algebra. I. Zbl 0854.17032
Huang, Y.-Z.; Lepowsky, J.
1995
A new family of algebras underlying the Rogers-Ramanujan identities and generalizations. Zbl 0472.17005
Lepowsky, James; Wilson, Robert Lee
1981
A theory of tensor products for module categories for a vertex operator algebra. II. Zbl 0854.17033
Huang, Y.-Z.; Lepowsky, J.
1995
The algebraic structure of relative twisted vertex operators. Zbl 0862.17021
Dong, Chongying; Lepowsky, James
1996
A theory of tensor products for module categories for a vertex operator algebra. III. Zbl 0841.17014
Huang, Yi-Zhi; Lepowsky, James
1995
Braided tensor categories and extensions of vertex operator algebras. Zbl 1388.17014
Huang, Yi-Zhi; Kirillov, Alexander jun.; Lepowsky, James
2015
The structure of standard modules. II: The case $$A_ 1^{(1)}$$, principal gradation. Zbl 0577.17010
Lepowsky, James; Wilson, Robert Lee
1985
Structure of the standard modules for the affine Lie algebra $$A_ 1^{(1)}$$. Zbl 0569.17007
Lepowsky, James; Primc, Mirko
1985
A Lie theoretic interpretation and proof of the Rogers-Ramanujan identities. Zbl 0488.17006
Lepowsky, James; Wilson, Robert Lee
1982
Structure of the standard modules for the affine Lie algebra $$A_ 1^{(1)}$$ in the homogeneous picture. Zbl 0556.17006
Lepowsky, J.; Primc, M.
1985
Generalized Verma modules, loop space cohomology and MacDonald-type identities. Zbl 0414.17007
Lepowsky, J.
1978
Tensor products of modules for a vertex operator algebra and vertex tensor categories. Zbl 0848.17031
Huang, Yi-Zhi; Lepowsky, James
1994
Algebraic results on representations of semisimple Lie groups. Zbl 0264.22012
Lepowsky, J.
1973
The Weyl-Kac character formula and power series identities. Zbl 0391.17009
Feingold, Alex J.; Lepowsky, James
1978
Logarithmic tensor category theory for generalized modules for a conformal vertex algebra. I: Introduction and strongly graded algebras and their generalized modules. Zbl 1345.81112
Huang, Yi-Zhi; Lepowsky, James; Zhang, Lin
2014
The Rogers-Ramanujan recursion and intertwining operators. Zbl 1039.05005
Capparelli, S.; Lepowsky, J.; Milas, A.
2003
The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators. Zbl 1166.17009
Capparelli, S.; Lepowsky, J.; Milas, A.
2006
Vertex-algebraic structure of the principal subspaces of level one modules for the untwisted affine Lie algebras of types $$A,D,E$$. Zbl 1221.17032
Calinescu, C.; Lepowsky, J.; Milas, A.
2010
Generalized Verma modules, the Cartan-Helgason theorem, and the Harish- Chandra homomorphism. Zbl 0381.17005
Lepowsky, J.
1977
A logarithmic generalization of tensor product theory for modules for a vertex operator algebra. Zbl 1197.17017
Huang, Yi-Zhi; Lepowsky, James; Zhang, Lin
2006
Vertex-algebraic structure of the principal subspaces of certain $$A^{(1)}_1$$-modules. I: Level one case. Zbl 1184.17012
Calinescu, C.; Lepowsky, J.; Milas, A.
2008
A moonshine module for the monster. Zbl 0556.17008
Frenkel, Igor B.; Lepowsky, James; Meurman, Arne
1985
Toward a theory of tensor products for representations of a vertex operator algebra. Zbl 0829.17025
Huang, Yi-Zhi; Lepowsky, James
1992
An introduction to the Monster. Zbl 0648.20030
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
1986
Tensor categories and the mathematics of rational and logarithmic conformal field theory. Zbl 1280.81125
Huang, Yi-Zhi; Lepowsky, James
2013
Vertex-algebraic structure of the principal subspaces of certain $$A_1^{(1)}$$-modules. II: Higher-level case. Zbl 1184.17013
Calinescu, C.; Lepowsky, J.; Milas, A.
2008
Existence of conical vectors in induced modules. Zbl 0314.17006
Lepowsky, J.
1975
Vertex operator calculus. Zbl 0657.17010
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
1987
On the determination of irreducible modules by restriction to a subalgebra. Zbl 0266.17014
Lepowsky, J.; McCollum, G. W.
1973
Conical vectors in induced modules. Zbl 0311.17002
Lepowsky, J.
1975
Intertwining operator algebras and vertex tensor categories for affine Lie algebras. Zbl 0953.17016
Huang, Yi-Zhi; Lepowsky, James
1999
Introduction from the book “Algebras of vertex operators and the Monster”. Zbl 0759.20001
Frenkel, I.; Lepowsky, J.; Meurman, A.
1991
Hyperbolic Lie algebras and quasiregular cusps on Hilbert modular surfaces. Zbl 0396.17007
Lepowsky, James; Moody, Robert V.
1979
An equivalence of two constructions of permutation-twisted modules for lattice vertex operator algebras. Zbl 1207.17033
Barron, Katrina; Huang, Yi-Zhi; Lepowsky, James
2007
Multiplicity formulas for certain semisimple Lie groups. Zbl 0228.17003
Lepowsky, J.
1971
The Rogers-Ramanujan identities: Lie theoretic interpretation and proof. Zbl 0449.17010
Lepowsky, James; Wilson, Robert Lee
1981
Finite- and infinite-dimensional representations of linear semisimple groups. Zbl 0279.17001
Lepowsky, James; Wallach, Nolan R.
1974
Macdonald-type identities. Zbl 0388.17003
Lepowsky, J.
1978
An $$E_ 8-$$approach to the Leech lattice and the Conway group. Zbl 0501.20014
Lepowsky, James; Meurman, Arne
1982
Twisted vertex operators and Bernoulli polynomials. Zbl 1119.17011
Doyon, B.; Lepowsky, J.; Milas, A.
2006
Lie algebras and classical partition identities. Zbl 0379.17003
Lepowsky, J.; Milne, S.
1978
Vertex-algebraic structure of principal subspaces of standard $$A_2^{(2)}$$-modules. I. Zbl 1351.17027
Calinescu, C.; Lepowsky, J.; Milas, A.
2014
On the $$\mathcal{D}$$-module and formal-variable approaches to vertex algebras. Zbl 0871.17023
Huang, Yi-Zhi; Lepowsky, James
1996
Application of the numerator formula to k-rowed plane partitions. Zbl 0425.10015
Lepowsky, J.
1980
Uniqueness of embeddings of certain induced modules. Zbl 0335.17004
Lepowsky, J.
1976
Realizations of the monster Lie algebra. Zbl 0828.17029
Jurisich, E.; Lepowsky, J.; Wilson, R. L.
1995
Operadic formulation of the notion of vertex operator algebra. Zbl 0848.17030
Huang, Yi-Zhi; Lepowsky, James
1994
Application of a “Jacobi identity” for vertex operator algebras to zeta values and differential operators. Zbl 0973.17036
Lepowsky, J.
2000
Twisted modules for vertex operator algebras and Bernoulli polynomials. Zbl 1051.17016
Doyon, B.; Lepowsky, J.; Milas, A.
2003
Perspective on vertex operators and the Monster. Zbl 0662.17007
Lepowsky, J.
1988
Factorization of formal exponentials and uniformization. Zbl 0978.17024
Barron, Katrina; Huang, Yi-Zhi; Lepowsky, James
2000
Remarks on vertex operator algebras and moonshine. Zbl 0829.17026
Lepowsky, J.
1992
Vertex operator algebras and operads. Zbl 0807.17024
Huang, Yi-Zhi; Lepowsky, James
1993
On the Harish-Chandra homomorphism. Zbl 0311.17003
Lepowsky, J.
1975
On the uniqueness of conical vectors. Zbl 0342.17005
Lepowsky, J.
1976
Affine Lie algebras and combinatorial identities. Zbl 0505.17009
Lepowsky, J.
1982
A motivated proof of Gordon’s identities. Zbl 1256.05014
Lepowsky, James; Zhu, Minxian
2012
A motivated proof of the Göllnitz-Gordon-Andrews identities. Zbl 1362.05008
Coulson, Bud; Kanade, Shashank; Lepowsky, James; McRae, Robert; Qi, Fei; Russell, Matthew C.; Sadowski, Christopher
2017
Vertex operator algebras and the zeta function. Zbl 1036.17022
Lepowsky, J.
1999
A generalization of H. Weyl’s ’unitary trick’. Zbl 0321.17002
Lepowsky, J.
1976
Cartan subspaces of symmetric Lie algebras. Zbl 0342.17004
Lepowsky, J.; McCollum, G. W.
1976
On multiplicity in the Jordan-Hölder series of Verma modules. Zbl 0381.17004
Deodhar, Vinay V.; Lepowsky, James
1977
Abelian intertwining algebras. – A generalization of vertex operator algebras. Zbl 0823.17040
Dong, Chongying; Lepowsky, James
1994
On the concepts of intertwining operator and tensor product module in vertex operator algebra theory. Zbl 1097.17016
Huang, Yi-Zhi; Lepowsky, James; Li, Haisheng; Zhang, Lin
2006
From the representation theory of vertex operator algebras to modular tensor categories in conformal field theory. Zbl 1112.17030
Lepowsky, James
2005
Standard modules for type one affine Lie algebras. Zbl 0536.17007
Lepowsky, James; Primc, Mirko
1984
Some developments in vertex operator algebra theory, old and new. Zbl 1142.17016
Lepowsky, James
2007
Ghost series and a motivated proof of the Andrews-Bressoud identities. Zbl 1351.05027
Kanade, Shashank; Lepowsky, James; Russell, Matthew C.; Sills, Andrew V.
2017
Vertex operators in mathematics and physics. Proceedings of a Conference (held at the Mathematical Sciences Research Institute, Berkeley, California), November 10-17, 1983. Zbl 0549.00013
Lepowsky, J. (ed.); Mandelstam, S. (ed.); Singer, I. M. (ed.)
1985
Introduction to: Vertex operators in mathematics and physics. Zbl 0556.17001
Lepowsky, James
1985
A theory of tensor products for module categories for a vertex operator algebra. I. Zbl 1009.17510
Huang, Yi-Zhi; Lepowsky, James
1994
The Gelfand Seminars, 1990-1992. Zbl 0780.00044
Corwin, L. (ed.); Gelfand, I. (ed.); Lepowsky, J. (ed.)
1993
Euclidean Lie algebras and the modular function j. Zbl 0485.17007
Lepowsky, J.
1980
The Macdonald-Kac formulas as a consequence of the Euler-Poincaré principle. Zbl 0366.17005
Garland, Howard; Lepowsky, James
1977
Minimal K-types for certain representations of real semisimple groups. Zbl 0382.22007
Lepowsky, J.
1978
The mathematical work of the 1998 Fields Medalists. Zbl 1194.01107
Lepowsky, James; Lindenstrauss, Joram; Manin, Yuri I.; Milnor, John
1999
A motivated proof of the Göllnitz-Gordon-Andrews identities. Zbl 1362.05008
Coulson, Bud; Kanade, Shashank; Lepowsky, James; McRae, Robert; Qi, Fei; Russell, Matthew C.; Sadowski, Christopher
2017
Ghost series and a motivated proof of the Andrews-Bressoud identities. Zbl 1351.05027
Kanade, Shashank; Lepowsky, James; Russell, Matthew C.; Sills, Andrew V.
2017
Braided tensor categories and extensions of vertex operator algebras. Zbl 1388.17014
Huang, Yi-Zhi; Kirillov, Alexander&nbsp;jun.; Lepowsky, James
2015
Logarithmic tensor category theory for generalized modules for a conformal vertex algebra. I: Introduction and strongly graded algebras and their generalized modules. Zbl 1345.81112
Huang, Yi-Zhi; Lepowsky, James; Zhang, Lin
2014
Vertex-algebraic structure of principal subspaces of standard $$A_2^{(2)}$$-modules. I. Zbl 1351.17027
Calinescu, C.; Lepowsky, J.; Milas, A.
2014
Tensor categories and the mathematics of rational and logarithmic conformal field theory. Zbl 1280.81125
Huang, Yi-Zhi; Lepowsky, James
2013
A motivated proof of Gordon’s identities. Zbl 1256.05014
Lepowsky, James; Zhu, Minxian
2012
Vertex-algebraic structure of the principal subspaces of level one modules for the untwisted affine Lie algebras of types $$A,D,E$$. Zbl 1221.17032
Calinescu, C.; Lepowsky, J.; Milas, A.
2010
Vertex-algebraic structure of the principal subspaces of certain $$A^{(1)}_1$$-modules. I: Level one case. Zbl 1184.17012
Calinescu, C.; Lepowsky, J.; Milas, A.
2008
Vertex-algebraic structure of the principal subspaces of certain $$A_1^{(1)}$$-modules. II: Higher-level case. Zbl 1184.17013
Calinescu, C.; Lepowsky, J.; Milas, A.
2008
An equivalence of two constructions of permutation-twisted modules for lattice vertex operator algebras. Zbl 1207.17033
Barron, Katrina; Huang, Yi-Zhi; Lepowsky, James
2007
Some developments in vertex operator algebra theory, old and new. Zbl 1142.17016
Lepowsky, James
2007
The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators. Zbl 1166.17009
Capparelli, S.; Lepowsky, J.; Milas, A.
2006
A logarithmic generalization of tensor product theory for modules for a vertex operator algebra. Zbl 1197.17017
Huang, Yi-Zhi; Lepowsky, James; Zhang, Lin
2006
Twisted vertex operators and Bernoulli polynomials. Zbl 1119.17011
Doyon, B.; Lepowsky, J.; Milas, A.
2006
On the concepts of intertwining operator and tensor product module in vertex operator algebra theory. Zbl 1097.17016
Huang, Yi-Zhi; Lepowsky, James; Li, Haisheng; Zhang, Lin
2006
From the representation theory of vertex operator algebras to modular tensor categories in conformal field theory. Zbl 1112.17030
Lepowsky, James
2005
Introduction to vertex operator algebras and their representations. Zbl 1055.17001
Lepowsky, James; Li, Haisheng
2004
The Rogers-Ramanujan recursion and intertwining operators. Zbl 1039.05005
Capparelli, S.; Lepowsky, J.; Milas, A.
2003
Twisted modules for vertex operator algebras and Bernoulli polynomials. Zbl 1051.17016
Doyon, B.; Lepowsky, J.; Milas, A.
2003
Application of a “Jacobi identity” for vertex operator algebras to zeta values and differential operators. Zbl 0973.17036
Lepowsky, J.
2000
Factorization of formal exponentials and uniformization. Zbl 0978.17024
Barron, Katrina; Huang, Yi-Zhi; Lepowsky, James
2000
Intertwining operator algebras and vertex tensor categories for affine Lie algebras. Zbl 0953.17016
Huang, Yi-Zhi; Lepowsky, James
1999
Vertex operator algebras and the zeta function. Zbl 1036.17022
Lepowsky, J.
1999
The mathematical work of the 1998 Fields Medalists. Zbl 1194.01107
Lepowsky, James; Lindenstrauss, Joram; Manin, Yuri I.; Milnor, John
1999
The algebraic structure of relative twisted vertex operators. Zbl 0862.17021
Dong, Chongying; Lepowsky, James
1996
On the $$\mathcal{D}$$-module and formal-variable approaches to vertex algebras. Zbl 0871.17023
Huang, Yi-Zhi; Lepowsky, James
1996
A theory of tensor products for module categories for a vertex operator algebra. I. Zbl 0854.17032
Huang, Y.-Z.; Lepowsky, J.
1995
A theory of tensor products for module categories for a vertex operator algebra. II. Zbl 0854.17033
Huang, Y.-Z.; Lepowsky, J.
1995
A theory of tensor products for module categories for a vertex operator algebra. III. Zbl 0841.17014
Huang, Yi-Zhi; Lepowsky, James
1995
Realizations of the monster Lie algebra. Zbl 0828.17029
Jurisich, E.; Lepowsky, J.; Wilson, R. L.
1995
Tensor products of modules for a vertex operator algebra and vertex tensor categories. Zbl 0848.17031
Huang, Yi-Zhi; Lepowsky, James
1994
Operadic formulation of the notion of vertex operator algebra. Zbl 0848.17030
Huang, Yi-Zhi; Lepowsky, James
1994
Abelian intertwining algebras. – A generalization of vertex operator algebras. Zbl 0823.17040
Dong, Chongying; Lepowsky, James
1994
A theory of tensor products for module categories for a vertex operator algebra. I. Zbl 1009.17510
Huang, Yi-Zhi; Lepowsky, James
1994
On axiomatic approaches to vertex operator algebras and modules. Zbl 0789.17022
Frenkel, Igor B.; Huang, Yi-Zhi; Lepowsky, James
1993
Generalized vertex algebras and relative vertex operators. Zbl 0803.17009
Dong, Chongying; Lepowsky, James
1993
Vertex operator algebras and operads. Zbl 0807.17024
Huang, Yi-Zhi; Lepowsky, James
1993
The Gelfand Seminars, 1990-1992. Zbl 0780.00044
Corwin, L.; Gelfand, I.; Lepowsky, J.
1993
Toward a theory of tensor products for representations of a vertex operator algebra. Zbl 0829.17025
Huang, Yi-Zhi; Lepowsky, James
1992
Remarks on vertex operator algebras and moonshine. Zbl 0829.17026
Lepowsky, J.
1992
Introduction from the book “Algebras of vertex operators and the Monster”. Zbl 0759.20001
Frenkel, I.; Lepowsky, J.; Meurman, A.
1991
Vertex operator algebras and the monster. Zbl 0674.17001
Frenkel, Igor; Lepowsky, James; Meurman, Arne
1988
Perspective on vertex operators and the Monster. Zbl 0662.17007
Lepowsky, J.
1988
Vertex operator calculus. Zbl 0657.17010
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
1987
An introduction to the Monster. Zbl 0648.20030
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
1986
Calculus of twisted vertex operators. Zbl 0579.17010
Lepowsky, J.
1985
The structure of standard modules. II: The case $$A_ 1^{(1)}$$, principal gradation. Zbl 0577.17010
Lepowsky, James; Wilson, Robert Lee
1985
Structure of the standard modules for the affine Lie algebra $$A_ 1^{(1)}$$. Zbl 0569.17007
Lepowsky, James; Primc, Mirko
1985
Structure of the standard modules for the affine Lie algebra $$A_ 1^{(1)}$$ in the homogeneous picture. Zbl 0556.17006
Lepowsky, J.; Primc, M.
1985
A moonshine module for the monster. Zbl 0556.17008
Frenkel, Igor B.; Lepowsky, James; Meurman, Arne
1985
Vertex operators in mathematics and physics. Proceedings of a Conference (held at the Mathematical Sciences Research Institute, Berkeley, California), November 10-17, 1983. Zbl 0549.00013
Lepowsky, J.; Mandelstam, S.; Singer, I. M.
1985
Introduction to: Vertex operators in mathematics and physics. Zbl 0556.17001
Lepowsky, James
1985
The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities. Zbl 0577.17009
Lepowsky, James; Wilson, Robert Lee
1984
A natural representation of the Fischer-Griess monster with the modular function J as character. Zbl 0543.20016
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
1984
Standard modules for type one affine Lie algebras. Zbl 0536.17007
Lepowsky, James; Primc, Mirko
1984
A Lie theoretic interpretation and proof of the Rogers-Ramanujan identities. Zbl 0488.17006
Lepowsky, James; Wilson, Robert Lee
1982
An $$E_ 8-$$approach to the Leech lattice and the Conway group. Zbl 0501.20014
Lepowsky, James; Meurman, Arne
1982
Affine Lie algebras and combinatorial identities. Zbl 0505.17009
Lepowsky, J.
1982
Realization of the basic representations of the Euclidean Lie algebras. Zbl 0476.17003
Kac, V. G.; Kazhdan, D. A.; Lepowsky, J.; Wilson, R. L.
1981
A new family of algebras underlying the Rogers-Ramanujan identities and generalizations. Zbl 0472.17005
Lepowsky, James; Wilson, Robert Lee
1981
The Rogers-Ramanujan identities: Lie theoretic interpretation and proof. Zbl 0449.17010
Lepowsky, James; Wilson, Robert Lee
1981
Application of the numerator formula to k-rowed plane partitions. Zbl 0425.10015
Lepowsky, J.
1980
Euclidean Lie algebras and the modular function j. Zbl 0485.17007
Lepowsky, J.
1980
Hyperbolic Lie algebras and quasiregular cusps on Hilbert modular surfaces. Zbl 0396.17007
Lepowsky, James; Moody, Robert V.
1979
Construction of the affine Lie algebra $$A^{(1)}_1$$. Zbl 0388.17006
Lepowsky, James; Wilson, Robert Lee
1978
Lie algebraic approaches to classical partition identities. Zbl 0384.10008
Lepowsky, J.; Milne, S.
1978
Generalized Verma modules, loop space cohomology and MacDonald-type identities. Zbl 0414.17007
Lepowsky, J.
1978
The Weyl-Kac character formula and power series identities. Zbl 0391.17009
Feingold, Alex J.; Lepowsky, James
1978
Macdonald-type identities. Zbl 0388.17003
Lepowsky, J.
1978
Lie algebras and classical partition identities. Zbl 0379.17003
Lepowsky, J.; Milne, S.
1978
Minimal K-types for certain representations of real semisimple groups. Zbl 0382.22007
Lepowsky, J.
1978
A generalization of the Bernstein-Gelfand-Gelfand resolution. Zbl 0381.17006
Lepowsky, J.
1977
Generalized Verma modules, the Cartan-Helgason theorem, and the Harish- Chandra homomorphism. Zbl 0381.17005
Lepowsky, J.
1977
On multiplicity in the Jordan-Hölder series of Verma modules. Zbl 0381.17004
Deodhar, Vinay V.; Lepowsky, James
1977
The Macdonald-Kac formulas as a consequence of the Euler-Poincaré principle. Zbl 0366.17005
Garland, Howard; Lepowsky, James
1977
Lie algebra homology and the Macdonald-Kac formulas. Zbl 0358.17015
Garland, Howard; Lepowsky, James
1976
Uniqueness of embeddings of certain induced modules. Zbl 0335.17004
Lepowsky, J.
1976
On the uniqueness of conical vectors. Zbl 0342.17005
Lepowsky, J.
1976
A generalization of H. Weyl’s ’unitary trick’. Zbl 0321.17002
Lepowsky, J.
1976
Cartan subspaces of symmetric Lie algebras. Zbl 0342.17004
Lepowsky, J.; McCollum, G. W.
1976
Existence of conical vectors in induced modules. Zbl 0314.17006
Lepowsky, J.
1975
Conical vectors in induced modules. Zbl 0311.17002
Lepowsky, J.
1975
On the Harish-Chandra homomorphism. Zbl 0311.17003
Lepowsky, J.
1975
Finite- and infinite-dimensional representations of linear semisimple groups. Zbl 0279.17001
Lepowsky, James; Wallach, Nolan R.
1974
Algebraic results on representations of semisimple Lie groups. Zbl 0264.22012
Lepowsky, J.
1973
On the determination of irreducible modules by restriction to a subalgebra. Zbl 0266.17014
Lepowsky, J.; McCollum, G. W.
1973
Multiplicity formulas for certain semisimple Lie groups. Zbl 0228.17003
Lepowsky, J.
1971
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#### Cited by 1,018 Authors

 65 Dong, Chongying 55 Li, Haisheng 48 Lam, Ching Hung 46 Lepowsky, James 39 Huang, Yi-Zhi 32 Jing, Naihuan 30 Milas, Antun 29 Adamović, Dražen 28 Creutzig, Thomas 26 Linshaw, Andrew Ross 25 Mason, Geoffrey 24 Yamada, Hiromichi 22 Tan, Shao Bin 20 Jiang, Cuipo 17 Kac, Victor G. 16 Shimakura, Hiroki 15 Yang, Jinwei 14 Duncan, John F. R. 14 Frenkel, Igor B. 14 Kanade, Shashank 14 Miyamoto, Masahiko 14 Primc, Mirko 13 Arakawa, Tomoyuki 13 Feĭgin, Boris L’vovich 13 Misra, Kailash C. 13 Tuite, Michael P. 13 Xu, Xiaoping 12 Abe, Toshiyuki 12 Griess, Robert L. jun. 12 Tanabe, Kenichiro 12 Yamauchi, Hiroshi 11 Kang, Seok-Jin 11 Kožić, Slaven 11 Ren, Li 10 Barron, Katrina 10 Bringmann, Kathrin 10 Frenkel, Edward V. 10 Kong, Liang 10 Penn, Michael 10 Wallach, Nolan Russell 9 Calinescu, Corina 9 Cheng, Miranda C. N. 9 Lin, Xingjun 9 McRae, Robert 9 Ridout, David 9 Sun, Jiancai 9 Yamskulna, Gaywalee 8 Anguelova, Iana I. 8 Halpern, Martin B. 8 Kolesnikov, Pavel Sergeevich 8 Kříž, Igor 8 Lee, Kyu-Hwan 8 Perše, Ozren 8 Runkel, Ingo 8 Sadowski, Christopher M. 8 Yu, Nina 7 Bakalov, Bojko 7 Bantay, Peter 7 Bergvelt, Maarten J. 7 Billig, Yuly 7 Feingold, Alex Jay 7 Fuchs, Jürgen 7 Harrison, Sarah M. 7 Harvey, Jeffrey A. 7 Jiao, Xiangyu 7 Lian, Bong H. 7 Milne, Stephen C. 7 Miwa, Tetsuji 7 Montague, P. S. 7 Mu, Qiang 7 Nagatomo, Kiyokazu 7 Schweigert, Christoph 7 Soucek, Vladimir 7 Wang, Weiqiang 7 Zhao, Kaiming 7 Zuevsky, Alexander 6 Ai, Chunrui 6 Berman, Stephen 6 Čap, Andreas 6 Gainutdinov, Azat M. 6 Guo, Hongyan 6 Han, Jianzhi 6 Höhn, Gerald 6 Jurisich, Elizabeth 6 Mathieu, Pierre 6 Matumoto, Hisayosi 6 Meurman, Arne 6 Naito, Satoshi 6 Ono, Ken 6 Semikhatov, Alexei M. 6 van de Leur, Johan W. 6 Warnaar, S. Ole 6 Wilson, Robert Lee 5 Benjamin, Nathan 5 Bytsenko, Andrei A. 5 Capparelli, Stefano 5 Chen, Hsian-Yang 5 Futorny, Vyacheslav M. 5 Garland, Howard 5 Gui, Bin ...and 918 more Authors
all top 5

#### Cited in 149 Serials

 252 Journal of Algebra 144 Communications in Mathematical Physics 83 Advances in Mathematics 69 Communications in Algebra 68 Journal of Pure and Applied Algebra 64 Journal of Mathematical Physics 57 Transactions of the American Mathematical Society 39 Nuclear Physics. B 39 Journal of High Energy Physics 38 Communications in Contemporary Mathematics 34 Letters in Mathematical Physics 27 Duke Mathematical Journal 26 Proceedings of the American Mathematical Society 24 Mathematische Zeitschrift 21 Inventiones Mathematicae 18 International Journal of Mathematics 17 Mathematische Annalen 16 The Ramanujan Journal 16 Algebras and Representation Theory 15 Selecta Mathematica. New Series 15 Transformation Groups 12 Journal of Geometry and Physics 11 Compositio Mathematica 11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 10 Theoretical and Mathematical Physics 10 Journal of Number Theory 9 Representation Theory 9 Journal of Algebra and its Applications 9 Research in the Mathematical Sciences 8 International Journal of Modern Physics A 8 Functional Analysis and its Applications 8 Journal of Functional Analysis 8 Frontiers of Mathematics in China 7 Journal of the Mathematical Society of Japan 7 Journal of Soviet Mathematics 7 Journal of Algebraic Combinatorics 7 Journal of Mathematical Sciences (New York) 7 Journal of Physics A: Mathematical and Theoretical 6 Reviews in Mathematical Physics 6 Acta Mathematica 6 Journal of Combinatorial Theory. Series A 6 European Journal of Combinatorics 6 Algebra Colloquium 6 Science China. Mathematics 5 Israel Journal of Mathematics 5 Physics Letters. B 5 Annales de l’Institut Fourier 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Bulletin of the American Mathematical Society. New Series 5 Central European Journal of Mathematics 4 Discrete Mathematics 4 Journal of Mathematical Analysis and Applications 4 Journal of Statistical Physics 4 Manuscripta Mathematica 4 Proceedings of the Japan Academy. Series A 4 Acta Applicandae Mathematicae 4 Acta Mathematica Sinica. English Series 3 International Journal of Modern Physics B 3 Journal für die Reine und Angewandte Mathematik 3 Michigan Mathematical Journal 3 Tohoku Mathematical Journal. Second Series 3 Advances in Applied Mathematics 3 Journal of the American Mathematical Society 3 Differential Geometry and its Applications 3 Glasnik Matematički. Serija III 3 Experimental Mathematics 3 Journal of Lie Theory 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Ukrainian Mathematical Journal 2 Mathematics of Computation 2 Publications Mathématiques 2 Memoirs of the American Mathematical Society 2 Nagoya Mathematical Journal 2 Chinese Annals of Mathematics. Series B 2 Physica D 2 Science in China. Series A 2 Annals of Physics 2 The Electronic Journal of Combinatorics 2 Séminaire Lotharingien de Combinatoire 2 Annals of Combinatorics 2 Annales Henri Poincaré 2 International Journal of Number Theory 2 Japanese Journal of Mathematics. 3rd Series 2 Quantum Topology 2 Journal de l’École Polytechnique – Mathématiques 1 Modern Physics Letters A 1 Applicable Analysis 1 General Relativity and Gravitation 1 International Journal of Mathematical Education in Science and Technology 1 Arkiv för Matematik 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Algebra and Logic 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Geometriae Dedicata 1 International Journal of Mathematics and Mathematical Sciences 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae ...and 49 more Serials
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#### Cited in 47 Fields

 1,173 Nonassociative rings and algebras (17-XX) 395 Quantum theory (81-XX) 196 Number theory (11-XX) 144 Group theory and generalizations (20-XX) 128 Topological groups, Lie groups (22-XX) 112 Combinatorics (05-XX) 70 Algebraic geometry (14-XX) 65 Associative rings and algebras (16-XX) 61 Category theory; homological algebra (18-XX) 48 Special functions (33-XX) 46 Differential geometry (53-XX) 41 Global analysis, analysis on manifolds (58-XX) 38 Relativity and gravitational theory (83-XX) 35 Partial differential equations (35-XX) 28 Manifolds and cell complexes (57-XX) 26 Statistical mechanics, structure of matter (82-XX) 24 Dynamical systems and ergodic theory (37-XX) 22 Several complex variables and analytic spaces (32-XX) 22 Functional analysis (46-XX) 17 Commutative algebra (13-XX) 17 Information and communication theory, circuits (94-XX) 12 Functions of a complex variable (30-XX) 10 Abstract harmonic analysis (43-XX) 8 Geometry (51-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Algebraic topology (55-XX) 5 $$K$$-theory (19-XX) 5 Convex and discrete geometry (52-XX) 4 Operator theory (47-XX) 3 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 1 Field theory and polynomials (12-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX)

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