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arXiv · 0907.3962

Zhu's algebras, $C_2$-algebras and abelian radicals

Boris Feigin·Evgeny Feigin·Peter Littelmann
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Abstract

This paper consists of three parts. In the first part we prove that Zhu's and $C_2$-algebras in type $A$ have the same dimensions. In the second part we compute the graded decomposition of the $C_2$-algebras in type $A$, thus proving the Gaberdiel-Gannon's conjecture. Our main tool is the theory of abelian radicals, which we develop in the third part.

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BibTeXRIS

Boris Feigin, Evgeny Feigin, Peter Littelmann. 2009-10-15. Zhu's algebras, $C_2$-algebras and abelian radicals. https://arxiv.org/abs/0907.3962

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