Indecomposable decomposition of tensor products of modules over Drinfeld Doubles of Taft algebras

2015/03/15 by Hui-Xiang Chen, Chen, Hui-Xiang, Hassen Suleman Esmael Mohammed +3 · 2 citations
Mathematics · Physics and Astronomy · #16E05 #16G99 #16T99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1503.04393

openalex publication_date 2015/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the tensor structure of category of finite dimensional representations of Drinfeld quantum doubles D(H_n(q)) of Taft Hopf algebras H_n(q). Tensor product decomposition rules for all finite dimensional indecomposable modules are explicitly given.

Citations

• The Green rings of the 2-rank Taft algebra and its two relatives twisted

Cited by

• The Projective Class Rings of Drinfeld doubles of pointed rank one Hopf algebras
• Representations of the Drinfeld doubles of Pointed rank one Hopf algebras

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