Regular representations of the quantum groups at roots of unity

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143214We 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 1.16 pagesQuantum AlgebraRepresentation Theory17B37, 20G42Regular representations of the quantum groups at roots of unitytext