Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2
Artículo finalmente publicado en: Mejía Castaño, A., Montgomery, S., Natale, S. L., Vega, M. D. y Walton, C. (2018). Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2. Journal of Pure and Applied Algebra, 222 (7), 1643-1669. https://doi.org/10.1016/j.jpaa.2...
| Main Authors: | , , , , |
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| Format: | info:eu-repo/semantics/submittedVersion |
| Language: | eng |
| Published: |
2024
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| Subjects: | |
| Online Access: | http://hdl.handle.net/11086/554446 https://doi.org/10.48550/arXiv.1610.03810 |
| _version_ | 1825132185039929344 |
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| author | Mejía Castaño, Adriana Montgomery, Susan Natale, Sonia Luján Vega, Maria D. Walton, Chelsea |
| author2 | https://orcid.org/0000-0003-4486-9165 |
| author_facet | https://orcid.org/0000-0003-4486-9165 Mejía Castaño, Adriana Montgomery, Susan Natale, Sonia Luján Vega, Maria D. Walton, Chelsea |
| author_sort | Mejía Castaño, Adriana |
| collection | Repositorio Digital Universitario |
| description | Artículo finalmente publicado en: Mejía Castaño, A., Montgomery, S., Natale, S. L., Vega, M. D. y Walton, C. (2018). Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2. Journal of Pure and Applied Algebra, 222 (7), 1643-1669. https://doi.org/10.1016/j.jpaa.2017.07.016 |
| format | info:eu-repo/semantics/submittedVersion |
| id | rdu-unc.554446 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2024 |
| record_format | dspace |
| spelling | rdu-unc.5544462024-12-04T06:39:41Z Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2 Mejía Castaño, Adriana Montgomery, Susan Natale, Sonia Luján Vega, Maria D. Walton, Chelsea https://orcid.org/0000-0003-4486-9165 Hopf algebras BiGalois objects Pointed fusion categories Cocycle deformations Artículo finalmente publicado en: Mejía Castaño, A., Montgomery, S., Natale, S. L., Vega, M. D. y Walton, C. (2018). Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2. Journal of Pure and Applied Algebra, 222 (7), 1643-1669. https://doi.org/10.1016/j.jpaa.2017.07.016 info:eu-repo/semantics/submittedVersion Fil: Mejía Castaño, Adriana. Universidade Federal de Santa Catarina. Centro de Ciências Físicas e Matemáticas. Departamento de Matemática; Brazil. Fil: Montgomery, Susan. University of Southern California. Dana and David Dornsife College of Letters, Arts and Sciences. Department of Mathematics; United States of America. Fil: Natale, Sonia Luján. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Natale, Sonia Luján. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Natale, Sonia Luján. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Vega, Maria D. United States Military Academy. Department of Mathematical Sciences; United States of America. Fil: Walton, Chelsea. Temple University. College of Science and Technology. Department of Mathematics; United States of America. 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. info:eu-repo/semantics/submittedVersion Fil: Mejía Castaño, Adriana. Universidade Federal de Santa Catarina. Centro de Ciências Físicas e Matemáticas. Departamento de Matemática; Brazil. Fil: Montgomery, Susan. University of Southern California. Dana and David Dornsife College of Letters, Arts and Sciences. Department of Mathematics; United States of America. Fil: Natale, Sonia Luján. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Natale, Sonia Luján. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Natale, Sonia Luján. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Vega, Maria D. United States Military Academy. Department of Mathematical Sciences; United States of America. Fil: Walton, Chelsea. Temple University. College of Science and Technology. Department of Mathematics; United States of America. Matemática Pura 2024-12-03T12:47:55Z 2024-12-03T12:47:55Z 2018 article 0022-4049 http://hdl.handle.net/11086/554446 1873-1376 https://doi.org/10.48550/arXiv.1610.03810 eng De la versión publicada: https://doi.org/10.1016/j.jpaa.2017.07.016 Atribución/Reconocimiento-NoComercial-SinDerivados 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/deed.es Impreso; Electrónico y/o Digital |
| spellingShingle | Hopf algebras BiGalois objects Pointed fusion categories Cocycle deformations Mejía Castaño, Adriana Montgomery, Susan Natale, Sonia Luján Vega, Maria D. Walton, Chelsea Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2 |
| title | Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2 |
| title_full | Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2 |
| title_fullStr | Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2 |
| title_full_unstemmed | Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2 |
| title_short | Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2 |
| title_sort | cocycle deformations and galois objects for semisimple hopf algebras of dimension p3 and pq2 |
| topic | Hopf algebras BiGalois objects Pointed fusion categories Cocycle deformations |
| url | http://hdl.handle.net/11086/554446 https://doi.org/10.48550/arXiv.1610.03810 |
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