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- Title
Categorical Morita equivalence and monoidal Morita equivalence of semisimple Hopf algebras of dimension pqr.
- Authors
Yu, Zhiqiang
- Abstract
In this paper, we describe the Galois objects for semisimple Hopf algebras of dimension p q r , where p , q , r are distinct primes. We show that each of these Hopf algebras has only one trivial Galois object, so that they are pairwise twist inequivalent; equivalently, they are not monoidally Morita equivalent to each other. Moreover, we determine the categorical and monoidal Morita equivalence classes of these Hopf algebras.
- Subjects
HOPF algebras; VECTOR spaces; SCHUR multiplier; GROUP algebras; ABELIAN equations
- Publication
Journal of Algebra & Its Applications, 2019, Vol 18, Issue 1, pN.PAG
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498819500087