Mathematics – Representation Theory
Scientific paper
2009-11-16
Mathematics
Representation Theory
19 pages
Scientific paper
We prove that Zhu's algebra and the $C_2$-algebra of type ${\tt C}_m$ 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 to describe the whole $C_2$-algebras, we get only a description of a certain quotient of the algebra.
Feigin Evgeny
Littelmann Peter
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