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

2005/07/19 by Pinczon, Georges, Ushirobira, Rosane
#17B05 #17B20 #17B56 #17B60 #17B65 #17B70 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.math/0507387

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.

Related

• Deformations of Lie brackets: cohomological aspects
• Z₂ⁿ grading of the classical Lie algebras
• Constructing Graded Lie Algebras
• Algebras of quotients of graded Lie algebras
• Cohomology of some families of Lie algebras and quadratic Lie algebras