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Article Dans Une Revue Algebra & Number Theory Année : 2010

Connected gradings and fundamental group.

Résumé

The main purpose of this paper is to provide explicit computations of the fundamental group 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.
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Dates et versions

hal-00396120 , version 1 (16-06-2009)
hal-00396120 , version 2 (30-09-2009)
hal-00396120 , version 3 (14-04-2010)

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Claude Cibils, Maria Julia Redondo, Andrea Solotar. Connected gradings and fundamental group.. Algebra & Number Theory, 2010, 4 (5), pp.625--648. ⟨10.2140/ant.2010.4.625⟩. ⟨hal-00396120v3⟩
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