Zhu's algebra and the C2-algebra in the symplectic and the orthogonal cases

Evgeny Feigin, Peter Littelmann

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

We prove that Zhu's algebra and the C2-algebra of type have the same dimension, and we compute the graded character of the latter. Maximal parabolic subalgebras of the symplectic algebra play a central role in our construction. For the orthogonal algebras our methods do not allow us to describe the whole C2-algebras; we get only a description of a certain quotient of the algebra.

Original languageEnglish
Article number135206
JournalJournal of Physics A: Mathematical and Theoretical
Volume43
Issue number13
DOIs
Publication statusPublished - 2010
Externally publishedYes

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