Connected gradings and the fundamental group

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The main purpose of this paper is to provide explicit computations of the fundamental groups of several algebras. For this purpose, given a k-algebra A, we consider the category of all connected gradings of A by a group G and we study the relation between gradings and Galois coverings. This theoreti...

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Detalles Bibliográficos
Autores principales: Cibils, C., Redondo, M.J., Solotar, A.
Formato: JOUR
Materias:
Fundamental group
Galois covering
Grading
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_19370652_v4_n5_p625_Cibils
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:The main purpose of this paper is to provide explicit computations of the fundamental groups of several algebras. For this purpose, given a k-algebra A, we consider the category of all connected gradings of A by a group G and we study the relation between gradings and Galois coverings. This theoretical tool gives information about the fundamental group of A, which allows its computation using complete lists of gradings. © 2010 by Mathematical Sciences Publishers.

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