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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_1386923X_v15_n4_p735_Cibils |
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todo:paper_1386923X_v15_n4_p735_Cibils2023-10-03T16:12:22Z The intrinsic fundamental group of a linear category Cibils, C. Redondo, M.J. Solotar, A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 |
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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 Cibils, C. Redondo, M.J. Solotar, A. 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. |
| format |
JOUR |
| author |
Cibils, C. Redondo, M.J. Solotar, A. |
| author_facet |
Cibils, C. Redondo, M.J. Solotar, A. |
| author_sort |
Cibils, C. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_1386923X_v15_n4_p735_Cibils |
| work_keys_str_mv |
AT cibilsc theintrinsicfundamentalgroupofalinearcategory AT redondomj theintrinsicfundamentalgroupofalinearcategory AT solotara theintrinsicfundamentalgroupofalinearcategory AT cibilsc intrinsicfundamentalgroupofalinearcategory AT redondomj intrinsicfundamentalgroupofalinearcategory AT solotara intrinsicfundamentalgroupofalinearcategory |
| _version_ |
1807323664351232000 |