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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Solotar, Andrea Leonor
Publicado: 2016
Materias:
Fundamental group
Grading
Hopf category
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v462_n_p137_Cibils
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 paper:paper_00218693_v462_n_p137_Cibils
record_format dspace
spelling paper:paper_00218693_v462_n_p137_Cibils2023-06-08T14:42:28Z The fundamental group of a Hopf linear category Solotar, Andrea Leonor 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. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v462_n_p137_Cibils 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
Solotar, Andrea Leonor
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.
author Solotar, Andrea Leonor
author_facet Solotar, Andrea Leonor
author_sort Solotar, Andrea Leonor
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
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v462_n_p137_Cibils
http://hdl.handle.net/20.500.12110/paper_00218693_v462_n_p137_Cibils
work_keys_str_mv AT solotarandrealeonor thefundamentalgroupofahopflinearcategory
AT solotarandrealeonor fundamentalgroupofahopflinearcategory
_version_ 1768544394700390400

Ejemplares similares