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

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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.
35 pages; completely revised version, with many improvements

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Representation Theory, 17B70, 17B05, 17B20, 17B56, 17B60, 17B65

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http://salesiana.dossiersoluciones.com/handle/123456789/102116

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507387
 http://arxiv.org/abs/math/0507387

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arXiv