Connected gradings and the fundamental group
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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| Autores principales: | , , |
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| Formato: | Artículo publishedVersion |
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2010
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_19370652_v4_n5_p625_Cibils https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_19370652_v4_n5_p625_Cibils_oai |
| Aporte de: |
| 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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