On semisimple quasitriangular Hopf algebras of dimension dqⁿ

2017/03/30 by Dong, Jingcheng, Dai, Li
#16T05 #18D10 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1703.10294

Abstract

Let q>2 be a prime number, d be an odd square-free natural number, and n be a non-negative integer. We prove that a semisimple quasitriangular Hopf algebra of dimension dqⁿ is solvable in the sense of Etingof, Nikshych and Ostrik. In particular, if n≤ 3 then it is either isomorphic to k^G for some abelian group G, or twist equivalent to a Hopf algebra which fits into a cocentral abelian exact sequence.

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