The fundamental group of a Hopf linear category

We define the fundamental group of a Hopf algebra over a field. For this purpose we first consider gradings of Hopf algebras and Galois coverings. The latter are given by linear categories with new additional structure which we call Hopf linear categories over a finite group. We compare this invaria...

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Detalles Bibliográficos
Autores principales:	Cibils, C., Solotar, A.
Formato:	JOUR
Materias:	Fundamental group Grading Hopf category
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_00218693_v462_n_p137_Cibils
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_00218693_v462_n_p137_Cibils
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spelling	todo:paper_00218693_v462_n_p137_Cibils2023-10-03T14:21:34Z The fundamental group of a Hopf linear category Cibils, C. Solotar, A. Fundamental group Grading Hopf category We define the fundamental group of a Hopf algebra over a field. For this purpose we first consider gradings of Hopf algebras and Galois coverings. The latter are given by linear categories with new additional structure which we call Hopf linear categories over a finite group. We compare this invariant to the fundamental group of the underlying linear category, and we compute those groups for families of examples. © 2016 Elsevier Inc. Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00218693_v462_n_p137_Cibils
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Fundamental group Grading Hopf category
spellingShingle	Fundamental group Grading Hopf category Cibils, C. Solotar, A. The fundamental group of a Hopf linear category
topic_facet	Fundamental group Grading Hopf category
description	We define the fundamental group of a Hopf algebra over a field. For this purpose we first consider gradings of Hopf algebras and Galois coverings. The latter are given by linear categories with new additional structure which we call Hopf linear categories over a finite group. We compare this invariant to the fundamental group of the underlying linear category, and we compute those groups for families of examples. © 2016 Elsevier Inc.
format	JOUR
author	Cibils, C. Solotar, A.
author_facet	Cibils, C. Solotar, A.
author_sort	Cibils, C.
title	The fundamental group of a Hopf linear category
title_short	The fundamental group of a Hopf linear category
title_full	The fundamental group of a Hopf linear category
title_fullStr	The fundamental group of a Hopf linear category
title_full_unstemmed	The fundamental group of a Hopf linear category
title_sort	fundamental group of a hopf linear category
url	http://hdl.handle.net/20.500.12110/paper_00218693_v462_n_p137_Cibils
work_keys_str_mv	AT cibilsc thefundamentalgroupofahopflinearcategory AT solotara thefundamentalgroupofahopflinearcategory AT cibilsc fundamentalgroupofahopflinearcategory AT solotara fundamentalgroupofahopflinearcategory
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The fundamental group of a Hopf linear category

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