Regular representations of the quantum groups at roots of unity, preprint

Abstract

Abstract. We study the bimodule structure of the quantum function algebra at roots of 1 and prove that it admits an increasing filtration with factors isomorphic to the tensor products of the dual of Weyl modules V ∗ λ ⊗V ∗ −ω0λ. As an application we compute the 0-th Hochschild cohomology of the function algebra at roots of 1. 1

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