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...

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Autores principales: Mejía Castaño, Adriana, Montgomery, Susan, Natale, Sonia Luján, Vega, Maria D., Walton, Chelsea
Otros Autores: https://orcid.org/0000-0003-4486-9165
Formato: submittedVersion article
Lenguaje:Inglés
Publicado: 2024
Materias:
Hopf algebras
BiGalois objects
Pointed fusion categories
Cocycle deformations
Acceso en línea:http://hdl.handle.net/11086/554446
https://doi.org/10.48550/arXiv.1610.03810
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-554446
record_format dspace
spelling I10-R141-11086-5544462024-12-04T06:39:41Z 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
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Hopf algebras
BiGalois objects
Pointed fusion categories
Cocycle deformations
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
topic_facet Hopf algebras
BiGalois objects
Pointed fusion categories
Cocycle deformations
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
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
format submittedVersion
article
author Mejía Castaño, Adriana
Montgomery, Susan
Natale, Sonia Luján
Vega, Maria D.
Walton, Chelsea
author_sort Mejía Castaño, Adriana
title 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_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_sort cocycle deformations and galois objects for semisimple hopf algebras of dimension p3 and pq2
publishDate 2024
url http://hdl.handle.net/11086/554446
https://doi.org/10.48550/arXiv.1610.03810
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