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Blaise Pascal
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Arwa Abbassi
Cup $i$-produit sur les algèbres graduées avec symétries et algèbres de Gerstenhaber
(Cup $i$-product on the graded algebras with symmetries and Gerstenhaber algebra)
Annales mathématiques Blaise Pascal, 20 no. 2 (2013), p. 331-361, doi: 10.5802/ambp.329
Article PDF | Reviews MR 3138032 | Zbl 1291.18024
Class. Math.: 18G55
Keywords: algèbre de Gerstenhaber, algèbres graduées avec symétries et cup $i$-produits.

Résumé - Abstract

In this paper, we define in the framework of graded algebras with symmetries the notion of cup $i$-product introduced by Steenrod in [11]. With the cup 1-product, we prove that the cohomology of a graded algebra with symmetries is a Gerstenhaber algebra.

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