Ridha Chatbouri

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20052012

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5 papers · 1 filter

math.QA2012

Algèbres pré-Gerstenhaber à homotopie près

Walid Aloulou, Didier Arnal, Ridha Chatbouri

This paper is concerned by the concept of algebra up to homotopy for a structure defined by two operations $.$ and [,]. An important example of such a structure is the Gerstenhaber…

math.QA2010

Cohomologie de Chevalley des graphes ascendants

Walid Aloulou, Didier Arnal, Ridha Chatbouri

The space $T_{p o l y} (R^{d})$ of all tensor fields on $R^{d}$ , equipped with the Schouten bracket is a Lie algebra. The subspace of ascending tensors is a Lie subalgebra…

math.QA2008

Algèbres enveloppantes à homotopie près, homologie et cohomologie

Ridha Chatbouri

We present an unified construction for algebras and modules homologies and cohomologies, in the case of associative, commuttaive, Lie and Gerstenhaber algebras. We make a distincti…

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…

math.QA2005

Cohomologie de Chevalley des graphes vectoriels

Walid Aloulou, Didier Arnal, Ridha Chatbouri

The space of smotth functions and vector fields on $R^{d}$ is a Lie subalgebra of the (graded) Lie algebra $T_p o l y (R^{d})$ , equipped with the Scouten bracket. In this paper, we co…