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.
|Journal||Journal of Physics A: Mathematical and Theoretical|
|State||Published - 2010|