Geodesic
New Applications of Graded Lie Algebras to Lie Algebras, Generalized Lie Algebras, and Cohomology
Georges Pinczon1 ; Rosane Ushirobira1
1Institut de Mathématiques, Université de Bourgogne, B.P. 47870, 21078 Dijon, France
Journal of Lie Theory, Tome 17 (2007) no. 3, pp. 633-668

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Georges Pinczon  1   ; Rosane Ushirobira  1

1 Institut de Mathématiques, Université de Bourgogne, B.P. 47870, 21078 Dijon, France 
Georges Pinczon; Rosane 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/JOLT_2007_17_3_a13/
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     author = {Georges Pinczon and Rosane Ushirobira},
     title = {New {Applications} of {Graded} {Lie} {Algebras} to {Lie} {Algebras,} {Generalized} {Lie} {Algebras,} and {Cohomology}},
     journal = {Journal of Lie Theory},
     pages = {633--668},
     year = {2007},
     volume = {17},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2007_17_3_a13/}
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