Regular representations of the quantum groups at roots of unity

2007/11/20 by Minxian Zhu, Zhu, Minxian
Mathematics · #17B37 #20G42 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0711.3060

openalex publication_date 2007/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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_{- ω0 λ}^*. As an application we compute the 0-th Hochschild cohomology of the function algebra at roots of 1.

Citations

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

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