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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2010
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_19370652_v4_n5_p625_Cibils http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_19370652_v4_n5_p625_Cibils_oai |
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I28-R145-paper_19370652_v4_n5_p625_Cibils_oai2020-10-19 Cibils, C. Redondo, M.J. Solotar, A. 2010 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. 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. application/pdf http://hdl.handle.net/20.500.12110/paper_19370652_v4_n5_p625_Cibils info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Algebra Number Theory 2010;4(5):625-648 Fundamental group Galois covering Grading Connected gradings and the fundamental group info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_19370652_v4_n5_p625_Cibils_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| topic |
Fundamental group Galois covering Grading |
| spellingShingle |
Fundamental group Galois covering Grading Cibils, C. Redondo, M.J. Solotar, A. Connected gradings and the fundamental group |
| topic_facet |
Fundamental group Galois covering Grading |
| description |
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. |
| format |
Artículo Artículo publishedVersion |
| author |
Cibils, C. Redondo, M.J. Solotar, A. |
| author_facet |
Cibils, C. Redondo, M.J. Solotar, A. |
| author_sort |
Cibils, C. |
| title |
Connected gradings and the fundamental group |
| title_short |
Connected gradings and the fundamental group |
| title_full |
Connected gradings and the fundamental group |
| title_fullStr |
Connected gradings and the fundamental group |
| title_full_unstemmed |
Connected gradings and the fundamental group |
| title_sort |
connected gradings and the fundamental group |
| publishDate |
2010 |
| url |
http://hdl.handle.net/20.500.12110/paper_19370652_v4_n5_p625_Cibils http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_19370652_v4_n5_p625_Cibils_oai |
| work_keys_str_mv |
AT cibilsc connectedgradingsandthefundamentalgroup AT redondomj connectedgradingsandthefundamentalgroup AT solotara connectedgradingsandthefundamentalgroup |
| _version_ |
1766026817071742976 |