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arXiv · 0711.3060

Regular representations of the quantum groups at roots of unity

Minxian Zhu
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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 $V_λ^* \otimes V_{- ω_0 λ}^*$. As an application we compute the 0-th Hochschild cohomology of the function algebra at roots of 1.

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Minxian Zhu. 2007-12-03. Regular representations of the quantum groups at roots of unity. https://arxiv.org/abs/0711.3060

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