The Brauer-Picard group of the representation category of finite supergroup algebras
Fil: Mombelli, Juan Martín. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
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| Format: | publishedVersion |
| Language: | eng |
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2021
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| Online Access: | http://hdl.handle.net/11086/19337 |
| _version_ | 1801211803043102720 |
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| author | Mombelli, Juan Martín |
| author_facet | Mombelli, Juan Martín |
| author_sort | Mombelli, Juan Martín |
| collection | Repositorio Digital Universitario |
| description | Fil: Mombelli, Juan Martín. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. |
| format | publishedVersion |
| id | rdu-unc.19337 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2021 |
| record_format | dspace |
| spelling | rdu-unc.193372022-10-13T11:07:19Z The Brauer-Picard group of the representation category of finite supergroup algebras Mombelli, Juan Martín Brauer-Picard group Tensor category Module category publishedVersion Fil: Mombelli, Juan Martín. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Mombelli, Juan Martín. Universidad de Hamburgo. Facultad de Matemáticas, Informática y Ciencias Naturales. Departamento de Matemáticas; Alemania. We develop further the techniques presented in a previous article (M. Mombelli. Abh. Math. Semin. Univ. Hamb. 82 (2012), 173–192), to study bimodule categories over the representation categories of arbitrary finite-dimensional Hopf algebras. We compute the Brauer-Picard group of equivalence classes of exact invertible bimodule categories over the representation categories of a certain large family of pointed non-semisimple Hopf algebras, the so called supergroup algebras (N. Andruskiewitsch, P. Etingof and S. Gelaki. Michigan Math. J. 49 (2001), 277–298). To obtain this result we first give a classification of equivalence classes of exact indecomposable bimodule categories over such Hopf algebras. publishedVersion Fil: Mombelli, Juan Martín. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Mombelli, Juan Martín. Universidad de Hamburgo. Facultad de Matemáticas, Informática y Ciencias Naturales. Departamento de Matemáticas; Alemania. Matemática Pura 2021-08-06T14:45:45Z 2021-08-06T14:45:45Z 2014 article Mombelli, J. M. (2014). The Brauer-Picard group of the representation category of finite supergroup algebras. Revista de la Unión Matemática Argentina, 55 (1), 83-117. http://hdl.handle.net/11086/19337 http://hdl.handle.net/11086/19337 eng Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ Impreso; Electrónico y/o Digital ISSN 1669-9637 DOI: https://doi.org/10.33044/revuma |
| spellingShingle | Brauer-Picard group Tensor category Module category Mombelli, Juan Martín The Brauer-Picard group of the representation category of finite supergroup algebras |
| title | The Brauer-Picard group of the representation category of finite supergroup algebras |
| title_full | The Brauer-Picard group of the representation category of finite supergroup algebras |
| title_fullStr | The Brauer-Picard group of the representation category of finite supergroup algebras |
| title_full_unstemmed | The Brauer-Picard group of the representation category of finite supergroup algebras |
| title_short | The Brauer-Picard group of the representation category of finite supergroup algebras |
| title_sort | brauer picard group of the representation category of finite supergroup algebras |
| topic | Brauer-Picard group Tensor category Module category |
| url | http://hdl.handle.net/11086/19337 |
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