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

Mathematics – Representation Theory

Scientific paper

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35 pages; completely revised version, with many improvements

Scientific paper

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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