Geodesic
New Applications of Graded Lie Algebras to Lie Algebras, Generalized Lie Algebras, and Cohomology
Journal of Lie theory, Tome 17 (2007) no. 3, pp. 633-668

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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.
Classification : 17B70, 17B05, 17B20, 17B56, 17B60, 17B65
Mots-clés : Deformation theory, graded Lie algebras, Gerstenhaber bracket, Gerstenhaber-Nijenhuis bracket, Schouten bracket, super Poisson brackets, quadratic Lie algebra, cyclic cohomology, 2k-Lie algebras, standard polynomial 
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     author = {G. Pinczon and R. Ushirobira },
     title = {New {Applications} of {Graded} {Lie} {Algebras} to {Lie} {Algebras,} {Generalized} {Lie} {Algebras,} and {Cohomology}},
     journal = {Journal of Lie theory},
     pages = {633--668},
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     year = {2007},
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G. Pinczon; R. Ushirobira . New Applications of Graded Lie Algebras to Lie Algebras, Generalized Lie Algebras, and Cohomology. Journal of Lie theory, Tome 17 (2007) no. 3, pp. 633-668. http://geodesic.mathdoc.fr/item/JLT_2007_17_3_JLT_2007_17_3_a13/