Certain associative algebras similar to U(sl2) and Zhu's algebra A(VL)

Chongying Dong, Haisheng Li, Geoffrey Mason

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

It is proved that Zhu's algebra for the vertex operator algebra associated to a positive-definite even lattice of rank one is a finite-dimensional semiprimitive quotient algebra of a certain associative algebra introduced by Smith. Zhu's algebra for the vertex operator algebra associated to any positive-definite even lattice is also calculated and is related to a generalization of Smith's algebra.

Original languageEnglish (US)
Pages (from-to)532-551
Number of pages20
JournalJournal of Algebra
Volume196
Issue number2
DOIs
StatePublished - Oct 15 1997

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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