Walid Aloulou

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20052012

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math.QA2008

Les (a,b)-algèbres à homotopie près

Walid Aloulou

We study in this article the concepts of algebra up to homotopy for a structure defined by two operations $ \pt $ and $[,]$ . Having determined the structure of $G_{\infty}$ algebr…

math.QA2008

Algèbres et cogèbres de Gerstenhaber et cohomologie de Chevalley-Harrison

Walid Aloulou, Didier Arnal, Ridha Chatbouri

The fundamental example of Gerstenhaber algebra is the space $T_{p o l y} (R^{d})$ of polyvector fields on $R^{d}$ , equipped with the wedge product and the Schouten brac…