Zhu's algebras, C2-algebras and abelian radicals

Boris Feigin, Evgeny Feigin, Peter Littelmann

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

This paper consists of three parts. In the first part we prove that Zhu's and C2-algebras in type A have the same dimensions. In the second part we compute the graded decomposition of the C2-algebras in type A, thus proving the Gaberdiel-Gannon conjecture. Our main tool is the theory of abelian radicals, which we develop in the third part.

Original languageEnglish
Pages (from-to)130-146
Number of pages17
JournalJournal of Algebra
Volume329
Issue number1
DOIs
Publication statusPublished - 1 Mar 2011
Externally publishedYes

Keywords

  • C2-algebra
  • Multiplicity free action
  • Spherical variety
  • Vertex operator algebra
  • Zhu's algebra

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