The Green Rings of Taft algebras

2011/11/08 by Huixiang Chen, Chen, Huixiang, F. Van Oystaeyen +3 · 2 citations
Mathematics · #16A16 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1111.1837

openalex publication_date 2011/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the Green ring of the Taft algebra H_n(q), where n is a positive integer greater than 1, and q is an n-th root of unity. It turns out that the Green ring r(H_n(q)) of the Taft algebra H_n(q) is a commutative ring generated by two elements subject to certain relations defined recursively. Concrete examples for n=2,3,..., 8 are given.

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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