New applications of graded Lie algebras to Lie algebras, generalized Lie algebras and cohomology

Abstract : We give new applications of graded Lie algebras to: identities of standard polynomials, deformation theory of quadratic Lie algebras, cyclic cohomology of quadratic Lie algebras, $2k$-Lie algebras, generalized Poisson brackets and so on.
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https://hal.archives-ouvertes.fr/hal-00439228
Contributor : Georges Pinczon <>
Submitted on : Sunday, December 6, 2009 - 11:38:50 PM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM

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Georges Pinczon, Rosane Ushirobira. New applications of graded Lie algebras to Lie algebras, generalized Lie algebras and cohomology. journal of Lie, 2007, 17 (3), pp.633-668. ⟨hal-00439228⟩

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