The Brauer-Picard group of the representation category of finite supergroup algebras

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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...

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Autor principal: Mombelli, Juan Martín
Formato: article
Lenguaje:Inglés
Publicado: 2021
Materias:
Brauer-Picard group
Tensor category
Module category
Acceso en línea:http://hdl.handle.net/11086/19337
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R14111086-19337
record_format dspace
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Brauer-Picard group
Tensor category
Module category
spellingShingle Brauer-Picard group
Tensor category
Module category
Mombelli, Juan Martín
The Brauer-Picard group of the representation category of finite supergroup algebras
topic_facet Brauer-Picard group
Tensor category
Module category
description 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.
format article
author Mombelli, Juan Martín
author_facet Mombelli, Juan Martín
author_sort Mombelli, Juan Martín
title 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_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_sort brauer-picard group of the representation category of finite supergroup algebras
publishDate 2021
url http://hdl.handle.net/11086/19337
work_keys_str_mv AT mombellijuanmartin thebrauerpicardgroupoftherepresentationcategoryoffinitesupergroupalgebras
AT mombellijuanmartin brauerpicardgroupoftherepresentationcategoryoffinitesupergroupalgebras
bdutipo_str Repositorios
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