Journal of Lie Theory

no. 3
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, Volume 17 (2007) no. 3, pp. 633-668
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.
DOI: 10.5802/jolt.468
Classification: 17B70, 17B05, 17B20, 17B56, 17B60, 17B65
Keywords: 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, Volume 17 (2007) no. 3, pp. 633-668. doi: 10.5802/jolt.468
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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},
     doi = {10.5802/jolt.468},
     zbl = {1195.17022},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.468/}
}
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