The Algebra of Conformal Blocks
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چکیده
Abstract. We study and generalize the connection between the phylogenetic Hilbert functions of Buczynska and Wisniewski [BW] and the Verlinde formula, as discovered by Sturmfels and Xu in [StX]. In order to accomplish this we introduce deformations of algebras of non-abelian theta functions for a general simple complex Lie algebra g structured on the moduli stack of stable punctured curves. We also study the relationship between these algebras and branching algebras, coming from the representation theory of the associated reductive group G.
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تاریخ انتشار 2009