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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102116We 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 improvementsRepresentation Theory17B70, 17B05, 17B20, 17B56, 17B60, 17B65New applications of graded Lie algebras to Lie algebras, generalized Lie algebras and cohomologytext