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Sur l'isomorphisme entre les cohomologies de Hochschild et de Chevalley-Eilenberg.

Salim Riviere 1
1 Topologie, géométrie et algèbre
LMJL - Laboratoire de Mathématiques Jean Leray
Abstract : We give a closed formula for a quasi-inverse of the well known antisymmetrization map of Cartan and Eilenberg, which allows an explicit identification of the cohomology groups of a Lie algebra over a ring of characteristic zero with the Hochschild cohomology groups of its universal enveloping algebra.
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Submitted on : Tuesday, February 5, 2013 - 4:02:30 PM
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Salim Riviere. Sur l'isomorphisme entre les cohomologies de Hochschild et de Chevalley-Eilenberg.. Topologie algébrique [math.AT]. Université de Nantes, 2012. Français. ⟨tel-00785201⟩

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