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Les propriétés homologiques des algèbres elliptiques de petite dimension

Abstract : This thesis is dedicated to the study of the homologiques properties of a family of associative algebras attached to the elliptic curves. Every algebra of this family admits a number nor of generators subordinate to the quadratiques relations. They are known under the name of elliptic algebras of Sklyanin-Odesskii-Feigin today. It is however advisable to underline that the simplest case, the family of elliptic algebras with three generators, was already known of Artin and Shelter.
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Submitted on : Thursday, June 9, 2011 - 2:34:45 PM
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  • HAL Id : tel-00599328, version 1


Serge Roméo Tagne Pelap. Les propriétés homologiques des algèbres elliptiques de petite dimension. Mathématiques [math]. Université d'Angers, 2008. Français. ⟨tel-00599328⟩



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