Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2

Adriana Mejía Castaño, Susan Montgomery, Sonia Natale, Maria D. Vega, Chelsea Walton

Research output: Contribution to journalArticlepeer-review

Abstract

Let p and q be distinct prime numbers. We study the Galois objects and cocycle deformations of the noncommutative, noncocommutative, semisimple Hopf algebras of odd dimension p3 and of dimension pq2. We obtain that the p+1 non-isomorphic self-dual semisimple Hopf algebras of dimension p3 classified by Masuoka have no non-trivial cocycle deformations, extending his previous results for the 8-dimensional Kac–Paljutkin Hopf algebra. This is done as a consequence of the classification of categorical Morita equivalence classes among semisimple Hopf algebras of odd dimension p3, established by the third-named author in an appendix.

Original languageEnglish (US)
Pages (from-to)1643-1669
Number of pages27
JournalJournal of Pure and Applied Algebra
Volume222
Issue number7
DOIs
StatePublished - Jul 2018

ASJC Scopus subject areas

  • Algebra and Number Theory

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