Quasitriangular Hopf algebras of dimension pq²

2021/11/22 by Zhou, Kun, Liu, Gongxiang
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2111.11235

Abstract

Let p and q be distinct odd primes and assume k is an algebraically closed field of characteristic zero. We classify all quasitriangular Hopf algebras of dimension pq² over k, which are not simple as Hopf algebras. Moreover, we obtained all quasitriangular structures on these Hopf algebras.

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