Regular representations of the quantum groups at roots of unity

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 $V_{\lambda }^{\ast }\otimes V_{-{\omega }_0\lambda }^{\ast }$. As an application we compute the 0-th Hochschild cohomology of the function algebra at roots of 1.

16 pages

References in corpus (1)

• Regular representation on the big cell and big projective modules in the category O

Cited by in corpus (1)

• On the semi-regular module and vertex operator algebras