The intrinsic fundamental group of a linear category

We provide an intrinsic definition of the fundamental group of a linear category over a ring as the automorphism group of the fibre functor on Galois coverings. If the universal covering exists, we prove that this group is isomorphic to the Galois group of the universal covering. The grading deduced...

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Detalles Bibliográficos
Autores principales:	Redondo, María Julia, Solotar, Andrea Leonor
Publicado:	2012
Materias:	Fundamental group Hochschild-Mitchell Linear category Presentation Quiver Algebra Mathematical techniques
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1386923X_v15_n4_p735_Cibils http://hdl.handle.net/20.500.12110/paper_1386923X_v15_n4_p735_Cibils
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_1386923X_v15_n4_p735_Cibils
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spelling	paper:paper_1386923X_v15_n4_p735_Cibils2023-06-08T16:12:51Z The intrinsic fundamental group of a linear category Redondo, María Julia Solotar, Andrea Leonor Fundamental group Hochschild-Mitchell Linear category Presentation Quiver Fundamental group Hochschild-Mitchell Linear category Presentation Quiver Algebra Mathematical techniques We provide an intrinsic definition of the fundamental group of a linear category over a ring as the automorphism group of the fibre functor on Galois coverings. If the universal covering exists, we prove that this group is isomorphic to the Galois group of the universal covering. The grading deduced from a Galois covering enables us to describe the canonical monomorphism from its automorphism group to the first Hochschild-Mitchell cohomology vector space. © 2010 Springer Science+Business Media B.V. Fil:Redondo, M.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1386923X_v15_n4_p735_Cibils http://hdl.handle.net/20.500.12110/paper_1386923X_v15_n4_p735_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 Hochschild-Mitchell Linear category Presentation Quiver Fundamental group Hochschild-Mitchell Linear category Presentation Quiver Algebra Mathematical techniques
spellingShingle	Fundamental group Hochschild-Mitchell Linear category Presentation Quiver Fundamental group Hochschild-Mitchell Linear category Presentation Quiver Algebra Mathematical techniques Redondo, María Julia Solotar, Andrea Leonor The intrinsic fundamental group of a linear category
topic_facet	Fundamental group Hochschild-Mitchell Linear category Presentation Quiver Fundamental group Hochschild-Mitchell Linear category Presentation Quiver Algebra Mathematical techniques
description	We provide an intrinsic definition of the fundamental group of a linear category over a ring as the automorphism group of the fibre functor on Galois coverings. If the universal covering exists, we prove that this group is isomorphic to the Galois group of the universal covering. The grading deduced from a Galois covering enables us to describe the canonical monomorphism from its automorphism group to the first Hochschild-Mitchell cohomology vector space. © 2010 Springer Science+Business Media B.V.
author	Redondo, María Julia Solotar, Andrea Leonor
author_facet	Redondo, María Julia Solotar, Andrea Leonor
author_sort	Redondo, María Julia
title	The intrinsic fundamental group of a linear category
title_short	The intrinsic fundamental group of a linear category
title_full	The intrinsic fundamental group of a linear category
title_fullStr	The intrinsic fundamental group of a linear category
title_full_unstemmed	The intrinsic fundamental group of a linear category
title_sort	intrinsic fundamental group of a linear category
publishDate	2012
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1386923X_v15_n4_p735_Cibils http://hdl.handle.net/20.500.12110/paper_1386923X_v15_n4_p735_Cibils
work_keys_str_mv	AT redondomariajulia theintrinsicfundamentalgroupofalinearcategory AT solotarandrealeonor theintrinsicfundamentalgroupofalinearcategory AT redondomariajulia intrinsicfundamentalgroupofalinearcategory AT solotarandrealeonor intrinsicfundamentalgroupofalinearcategory
_version_	1768544288375832576

The intrinsic fundamental group of a linear category

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