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arXiv · 1006.0677

Quasi-bigèbres de Lie et cohomologie d'algèbre de Lie

Momo Bangoura
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Abstract

Lie quasi-bialgebras are natural generalisations of Lie bialgebras introduced by Drinfeld. To any Lie quasi-bialgebra structure of finite-dimensional (G, μ, γ,ϕ?), correspond one Lie algebra structure on D = G\oplus G*, called the double of the given Lie quasi-bialgebra. We show that there exist on ΛG, the exterior algebra of G, a D-module structure and we establish an isomorphism of D-modules between ΛD and End(ΛG), D acting on ΛD by the adjoint action.

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BibTeXRIS

Momo Bangoura. 2010-06-03. Quasi-bigèbres de Lie et cohomologie d'algèbre de Lie. https://arxiv.org/abs/1006.0677

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