Regular representations of the quantum groups at roots of unity

Details Regular representations of the quantum groups at roots of unity Regular representations of the quantum groups at roots of unity

2007-11-20

arxiv.org/abs/0711.3060v2

Mathematics

Quantum Algebra

16 pages

Scientific paper

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 $V_\lambda^* \otimes V_{-
\omega_0 \lambda}^*$. As an application we compute the 0-th Hochschild
cohomology of the function algebra at roots of 1.

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