Concepedia

Igor Frenkel

IF

38

Publications

5.6K

Citations

27

H-Index

1980

Active since

Affiliations

Yale University(Current)

Institute for Advanced Study

University of California, Berkeley

Max Planck Institute for Mathematics

Mathematical Sciences Research Institute

Igor Frenkel is an author at Yale University specializing in representation theory, quantum field theory, and education.

Top concepts

Representation TheoryQuantum Field TheoryEducationEngineeringQuantum GroupsSpectral TheoryPhysicsGeometryGraph TheoryQuantum Science

Publications per year

1980–2021

38

Publications

38

On axiomatic approaches to vertex operator algebras and modules

Igor Frenkel, Yi-Zhi Huang, James Lepowsky · Memoirs of the American Mathematical Society · 1993 · 982 citations

Abstract Algebra, Representation Theory, Modern Algebra +8

Basic representations of affine Lie algebras and dual resonance models

Igor Frenkel, Victor G. Kač · Inventiones mathematicae · 1980 · 782 citations

Spectral Theory, Supermanifold, Lie Group +5

Vertex operator algebras associated to representations of affine and Virasoro algebras

Igor Frenkel, Yongchang Zhu · Duke Mathematical Journal · 1992 · 751 citations

Hopf Algebra, Virasoro Algebras, Quantum Groups +13

Quantum affine algebras and holonomic difference equations

Igor Frenkel, Nicolai Reshetikhin · Communications in Mathematical Physics · 1992 · 550 citations

Quantum Science, Quantum Affine Algebras, Quantum Algebra +1

A natural representation of the Fischer-Griess Monster with the modular function <i>J</i> as character

Igor Frenkel, James Lepowsky, Arne Meurman · Proceedings of the National Academy of Sciences · 1984 · 246 citations · Full text

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