Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2 |
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Authors: | Adriana Mejía Castaño Susan Montgomery Sonia Natale Maria D Vega Chelsea Walton |
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Institution: | 1. Departamento de Matemática, Universidade Federal de Santa Catarina, CAPES–PNPD, Florianópolis-SC, Brazil;2. Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA;3. Facultad de Matemática, Astronomía, Física y Computación, Universidad Nacional de Córdoba, CIEM-CONICET, Córdoba, Argentina;4. Department of Mathematical Sciences, United States Military Academy, West Point, NY 10996, USA;5. Department of Mathematics, Temple University, Philadelphia, PA 19122, USA |
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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 and of dimension . We obtain that the non-isomorphic self-dual semisimple Hopf algebras of dimension 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 , established by the third-named author in an appendix. |
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Keywords: | 16T05 16S35 18D10 |
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