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Abstract:

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.

Registro:

Documento: Artículo
Título:The intrinsic fundamental group of a linear category
Autor:Cibils, C.; Redondo, M.J.; Solotar, A.
Filiación:Institut de Mathématiques et de Modélisation de Montpellier I3M, UMR 5149, Université Montpellier 2, Montpellier Cedex 5 34095, France
Departamento de Matemática, Universidad Nacional Del sur, Av. Alem 1253, Bahía Blanca 8000, Argentina
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón 1, 1428 Buenos Aires, Argentina
Palabras clave:Fundamental group; Hochschild-Mitchell; Linear category; Presentation; Quiver; Fundamental group; Hochschild-Mitchell; Linear category; Presentation; Quiver; Algebra; Mathematical techniques
Año:2012
Volumen:15
Número:4
Página de inicio:735
Página de fin:753
DOI: http://dx.doi.org/10.1007/s10468-010-9263-1
Título revista:Algebras and Representation Theory
Título revista abreviado:Algebr Represent Theory
ISSN:1386923X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1386923X_v15_n4_p735_Cibils

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Citas:

---------- APA ----------
Cibils, C., Redondo, M.J. & Solotar, A. (2012) . The intrinsic fundamental group of a linear category. Algebras and Representation Theory, 15(4), 735-753.
http://dx.doi.org/10.1007/s10468-010-9263-1
---------- CHICAGO ----------
Cibils, C., Redondo, M.J., Solotar, A. "The intrinsic fundamental group of a linear category" . Algebras and Representation Theory 15, no. 4 (2012) : 735-753.
http://dx.doi.org/10.1007/s10468-010-9263-1
---------- MLA ----------
Cibils, C., Redondo, M.J., Solotar, A. "The intrinsic fundamental group of a linear category" . Algebras and Representation Theory, vol. 15, no. 4, 2012, pp. 735-753.
http://dx.doi.org/10.1007/s10468-010-9263-1
---------- VANCOUVER ----------
Cibils, C., Redondo, M.J., Solotar, A. The intrinsic fundamental group of a linear category. Algebr Represent Theory. 2012;15(4):735-753.
http://dx.doi.org/10.1007/s10468-010-9263-1