Idempotent et cohomologie de Hochschild |
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Authors: | Belkacem Bendiffalah Daniel Guin |
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Institution: | Institut de mathématiques et de modélisation de Montpellier, UMR 5149, université Montpellier II, place Eugène-Bataillon, 34095 Montpellier cedex 5, France |
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Abstract: | Any idempotent element e of an (associative) algebra T defines an algebra with unit e. We show that the morphism which compares their Hochschild cohomology algebras is a Gerstenhaber algebras morphism. Moreover, this morphism factorizes through the cohomological algebras of many triangular algebras. To cite this article: B. Bendiffalah, D. Guin, C. R. Acad. Sci. Paris, Ser. I 342 (2006). |
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