Representations of vertex operator algebras over an arbitrary field

Vertex algebras, Kac-Moody algebras, and the Monster

Richard E. Borcherds · Proceedings of the National Academy of Sciences · 1986 · 1.4K citations · Full text

Natural Sciences, Mathematics, Physics +16

Modular invariance of characters of vertex operator algebras

Yongchang Zhu · Journal of the American Mathematical Society · 1996 · 1.1K citations · Full text

Natural Sciences, Mathematics, Algebra +15

On axiomatic approaches to vertex operator algebras and modules

Igor Frenkel, Yi-Zhi Huang, James Lepowsky · Memoirs of the American Mathematical Society · 1993 · 1K citations

Natural Sciences, Mathematics, Algebra +10

Vertex operator algebras associated to representations of affine and Virasoro algebras

Igor Frenkel, Yongchang Zhu · Duke Mathematical Journal · 1992 · 786 citations

Natural Sciences, Mathematics, Physics +17

Modular-Invariance of Trace Functions¶in Orbifold Theory and Generalized Moonshine

Chongying Dong, Haisheng Li, Geoffrey Mason · Communications in Mathematical Physics · 2000 · 469 citations · Full text

Natural Sciences, Mathematics, Physics +14