James Lepowsky

Q: What Schools Are Affiliated With James Lepowsky

James Lepowsky is affiliated with the following schools: Yale University, Rutgers University, Massachusetts Institute of Technology, Brandeis University

James Lepowsky's AcademicInfluence.com Rankings

James Lepowsky

Mathematics

#278

World Rank

#599

Historical Rank

#131

USA Rank

Measure Theory

#1864

World Rank

#2276

Historical Rank

#576

USA Rank

mathematics Degrees

Download Badge

Mathematics

Why Is James Lepowsky Influential?

(Suggest an Edit or Addition)

According to Wikipedia, James Lepowsky is a professor of mathematics at Rutgers University, New Jersey. Previously he taught at Yale University. He received his Ph.D. from Massachusetts Institute of Technology in 1970 where his advisors were Bertram Kostant and Sigurdur Helgason. Lepowsky graduated from Stuyvesant High School in 1961, 16 years after Kostant. His current research is in the areas of infinite-dimensional Lie algebras and vertex algebras. He has written several books on vertex algebras and related topics. In 1988, in a joint work with Igor Frenkel and Arne Meurman, he constructed the monster vertex algebra . His PhD students include Stefano Capparelli, Yi-Zhi Huang, Haisheng Li, Arne Meurman, and Antun Milas.

(See a Problem?)

James Lepowsky's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Vertex Operator Algebras and the Monster (2011) (1099)
On Axiomatic Approaches to Vertex Operator Algebras and Modules (1993) (1050)
Introduction to Vertex Operator Algebras and Their Representations (2003) (790)
Generalized vertex algebras and relative vertex operators (1993) (672)
Construction of the affine Lie algebraA1(1) (1978) (322)
A natural representation of the Fischer-Griess Monster with the modular function J as character. (1984) (274)
Lie algebra homology and the Macdonald-Kac formulas (1976) (259)
The structure of standard modules, I: Universal algebras and the Rogers-Ramanujan identities (1984) (255)
A theory of tensor products for module categories for a vertex operator algebra, I (1993) (249)
Calculus of twisted vertex operators. (1985) (234)
Structure of the standard modules for the affine Lie algebra A[(1)] [1] (1985) (213)
Realization of the basic representations of the Euclidean Lie algebras (1981) (187)
Functional Analysis on the Eve of the 21st Century (1995) (181)
A generalization of the Bernstein-Gelfand-Gelfand resolution (1977) (177)
A theory of tensor products for module categories for a vertex operator algebra, II (1993) (161)
Lessons from Animal Diabetes VI (1996) (152)
Tensor Products of Modules for a Vertex Operator Algebra and Vertex Tensor Categories (1994) (152)
Braided Tensor Categories and Extensions of Vertex Operator Algebras (2014) (147)
Lie algebraic approaches to classical partition identities (1978) (147)
A new family of algebras underlying the Rogers-Ramanujan identities and generalizations. (1981) (146)
The algebraic structure of relative twisted vertex operators (1996) (135)
The structure of standard modules (1985) (132)
Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and their Generalized Modules (2010) (119)
Vertex operator calculus (1987) (109)
A moonshine module for the Monster (1985) (102)
A lie theoretic interpretation and proof of the Rogers-Ramanujan identities (1982) (100)
Algebraic results on representations of semisimple Lie groups (1973) (93)
The Gelfand Mathematical Seminars, 1990–1992 (1993) (89)
Generalized Verma modules, loop space cohomology and MacDonald-type identities (1979) (79)
The Rogers–Selberg recursions, the Gordon–Andrews identities and intertwining operators (2003) (73)
THE ROGERS–RAMANUJAN RECURSION AND INTERTWINING OPERATORS (2002) (71)
The Weyl-Kac character formula and power series identities (1978) (68)
Logarithmic tensor product theory for generalized modules for a conformal vertex algebra. Part I (2006) (64)
Tensor categories and the mathematics of rational and logarithmic conformal field theory (2013) (62)
A LOGARITHMIC GENERALIZATION OF TENSOR PRODUCT THEORY FOR MODULES FOR A VERTEX OPERATOR ALGEBRA (2003) (62)
Vertex-algebraic structure of the principal subspaces of level one modules for the untwisted affine Lie algebras of types A,D,E (2009) (61)
Logarithmic tensor category theory, VIII: Braided tensor category structure on categories of generalized modules for a conformal vertex algebra (2011) (61)
Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators (2010) (60)
Vertex-algebraic structure of the principal subspaces of certain A_1^(1)-modules, I: level one case (2007) (60)
Encyclopaedia of Mathematics, Supplement III (2002) (59)
Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms (2010) (58)
Intertwining operator algebras and vertex tensor categories for affine Lie algebras (1997) (57)
Logarithmic tensor category theory, VII: Convergence and extension properties and applications to expansion for intertwining maps (2011) (55)
Generalized Verma modules, the Cartan-Helgason theorem, and the Harish-Chandra homomorphism (1977) (55)
Vertex-algebraic structure of the principal subspaces of certain A_1^(1)-modules, II: higher level case (2007) (53)
Logarithmic tensor category theory, V: Convergence condition for intertwining maps and the corresponding compatibility condition (2010) (53)
On the determination of irreducible modules by restriction to a subalgebra (1973) (53)
Logarithmic tensor category theory, III: Intertwining maps and tensor product bifunctors (2010) (52)
Standard modules for type one affine lie algebras (1984) (52)
Construction of the Affine Lie Algebra (2004) (50)
Lectures on Kac-Moody Lie algebras (1978) (50)
Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions (2010) (49)
Vertex operator algebras and operads (1993) (47)
Multiplicity formulas for certain semisimple Lie groups (1971) (36)
On the Harish-Chandra homomorphism (1975) (36)
Hyperbolic Lie algebras and quasi-regular cusps on Hilbert modular surfaces (1979) (35)
Conical vectors in induced modules (1975) (34)
Perspectives on vertex operators and the Monster (1987) (34)
Realizations of the Monster Lie algebra (1994) (34)
Twisted vertex operators and Bernoulli polynomials (2003) (32)
The Rogers-Ramanujan identities: Lie theoretic interpretation and proof. (1981) (32)
An equivalence of two constructions of permutation-twisted modules for lattice vertex operator algebras (2006) (31)
Macdonald-type identities (1978) (29)
Existence of conical vectors in induced modules (1975) (29)
An E8-approach to the Leech lattice and the Conway group☆ (1982) (29)
Finite- and infinite-dimensional representation of linear semisimple groups (1973) (28)
Vertex-algebraic structure of principal subspaces of standard A_2^{(2)}-modules, I (2014) (25)
Lie algebras and classical partition identities. (1978) (24)
On the D -module and formal-variable approaches to vertex algebras (1996) (23)
Vertex operator algebras and the zeta function (1999) (22)
Affine Lie algebras and combinatorial identities (1982) (21)
Application of the numerator formula to k-rowed plane partitions (1980) (21)
Vertex Operators in Mathematics and Physics (2013) (20)
From the representation theory of vertex operator algebras to modular tensor categories in conformal field theory. (2005) (18)
Some developments in vertex operator algebra theory, old and new (2007) (14)
The Gelfand Mathematical Seminars (1993) (14)
A motivated proof of Gordon’s identities (2012) (14)
Factorization of Formal Exponentials and Uniformization (1999) (14)
Uniqueness of embeddings of certain induced modules (1976) (13)
The Gelfand Mathematical Seminars, 1993-1995 (1996) (13)
Twisted modules for vertex operator algebras and Bernoulli polynomials (2003) (13)
Cartan subspaces of symmetric Lie algebras (1976) (12)
Lie algebras, vertex operator algebras, and their applications : international conference in honor of James Lepowsky and Robert Wilson on their sixtieth birthdays, May 17-21, 2005, North Carolina State University, Raleigh, North Carolina (2007) (12)
Application of a ‘Jacobi Identity’ for Vertex Operator Algebras to Zeta Values and Differential Operators (1999) (11)
Z-Algebras and the Rogers-Ramanujan Identities (1985) (11)
Ghost series and a motivated proof of the Andrews-Bressoud identities (2014) (10)
A motivated proof of the Göllnitz–Gordon–Andrews identities (2014) (9)
On the concepts of intertwining operator and tensor product module in vertex operator algebra theory (2004) (9)
Friendly Giant Meets Pointlike Instantons? On a New Conjecture by John McKay (2010) (9)
Vertex operator algebras in mathematics and physics (2003) (9)
Structure of the Standard Modules for the Affine Lie Algebra A1(1) in the Homogeneous Picture (1985) (8)
A generalization of H. Weyl’s “unitary trick” (1976) (8)
An introduction to the Monster (1986) (7)
On the uniqueness of conical vectors (1976) (7)
On multiplicity in the Jordan-Hölder series of Verma modules (1977) (7)
Functional Analysis on the Eve of the 21st Century Volume II (1996) (7)
Representations of semisimple Lie groups and an enveloping algebra decomposition. (1970) (7)
Vertex operators in mathematics and physics : proceedings of a conference, November 10-17, 1983 (1985) (5)
Braided Tensor Categories and Extensions of Vertex Operator Algebras (2015) (3)
Elementary Lie algebra theory (1974) (3)
Affine Lie algebras and vertex tensor categories (1997) (3)
Minimal K-types for certain representations of real semisimple groups (1978) (3)
Monodromy representations of braid groups (1993) (3)
A Jacobi identity for relative untwisted vertex operators (1993) (2)
The Mathematical Work of the 1998 Fields (1998) (2)
Linear factorization of conical polynomials over certain nonassociative algebras (1976) (1)
Vertex Operators and Arithmetic: How a Single Photon Illuminates Number Theory (2010) (1)
Abelian intertwining algebras, third cohomology and duality (1993) (1)
Moonshine : the first quarter century and beyond : proceedings of a workshop on the moonshine conjectures and vertex algebras (2010) (1)
Introduction from the book "Vertex operator algebras and the Monster" (1991) (1)
On Hopf algebras and the elimination theorem for free Lie algebras (1995) (1)
2. The Lie algebra (1985) (1)
Vertex Operator Algebras: The Axiomatic Basics (2004) (0)
Z-algebras and parafermion algebras (1993) (0)
A motivated proof of the Göllnitz–Gordon–Andrews identities (2015) (0)
9. Combinatorial formulas (1985) (0)
Generalized vertex algebras and duality (1993) (0)
Generalized vertex operator algebras and their modules (1993) (0)
94 08 03 7 v 1 5 A ug 1 99 4 Realizations of the Monster Lie Algebra (1995) (0)
INTERTWINING OPERATOR FOR Sp(4,R) AND ORTHOGONAL POLYNOMIALS (2021) (0)
A ] 1 4 A pr 2 00 5 From the representation theory of vertex operator algebras to modular tensor categories in conformal field theory (2005) (0)
Construction of Families of Vertex Operator Algebras and Modules (2004) (0)
On the Con epts of Intertwining Operatorand Tensor Produ (2009) (0)
Quotient vertex operators (1993) (0)
Calculus of twisted vertex operators ( affine Lie algebras / basic modules / string theory ) (0)
A ] 1 7 N ov 2 00 2 The Rogers – Ramanujan recursion and intertwining operators (2008) (0)
5. Relations for standard modules (1985) (0)
Functional analysis on the eve of the 21st century : in honor of the eightieth birthday of I.M. Gelfand (1997) (0)
Duality for generalized vertex operator algebras (1993) (0)
Representations of Vertex Algebras and, the Construction of Vertex Algebras and, Modules (2004) (0)
An $Esb 8$-approach to $Fsb 1$ (1985) (0)
Lie Algebras and Combinatorics (2010) (0)
Affine Lie algebras and vertex operator algebras (1993) (0)
Relative untwisted vertex operators (1993) (0)
On the Injectivity of the Kudla-Millson Lift and Surjectivity of the Borcherds Lift (2014) (0)
The Rogers-Ramanujan identities: Lie theoretic interpretation (0)
3. The category _ (1985) (0)
6. Basis of Ω_{} for a standard module (1985) (0)
8. Proof of linear independence (1985) (0)
A natural representation oftheFischer-Griess Monster withthemodular function Jascharacter (vertex operators/finite simple groupFl/Monstrous Moonshine/affine Liealgebras/basic modules) (1984) (0)
7. Schur functions (1985) (0)
The Rogers-Ramanujan identities: interpretation and proof (Euclidean Kac-Moody Lie algebras/standard modules/principally sj (2016) (0)
The Macdonald-Kac formulas as a consequence of the Euler-Poincaré principle (1977) (0)
A motivated proof of Gordon’s identities (2012) (0)
On the Connection of Certain Lie Algebras with Vertex Algebras (2010) (0)
Application of a (1999) (0)
Schedule of Talks (2010) (0)
4. The generalized commutation relations (1985) (0)

This paper list is powered by the following services:

Other Resources About James Lepowsky

en.wikipedia.org

What Schools Are Affiliated With James Lepowsky?

James Lepowsky is affiliated with the following schools: