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math.QA2002
Vertex algebras and vertex Poisson algebras
Haisheng Li
This paper studies certain relations among vertex algebras, vertex Lie algebras and vertex Poisson algebras. In this paper, the notions of vertex Lie algebra (conformal algebra) an…
math.QA2002
Simple vertex operator algebras are nondegenerate
Haisheng Li
In this paper it is shown that every irreducible vertex algebra of countable dimension and every simple vertex operator algebra are nondegenerate in the sense of Etingof and Kazhda…
math.QA2002
Axiomatic -vertex algebras
Haisheng Li
Inspired by the Borcherds' work on ``-vertex algebras,'' we formulate and study an axiomatic counterpart of Borcherds' notion of -vertex algebra for the simplest nontrivial e…