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Preprint . 2005
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https://dx.doi.org/10.48550/ar...
Article . 2005
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New applications of graded Lie algebras to Lie algebras, generalized Lie algebras and cohomology

New applications of graded Lie algebras to Lie algebras, generalized Lie algebras, and cohomology
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2005Embargo end date: 01 Jan 2005Publisher:arXiv
Authors: Pinczon, Georges; Ushirobira, Rosane;

doi: 10.48550/arxiv.math/0507387

arXiv: math/0507387

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

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.

35 pages; completely revised version, with many improvements

Related Organizations
Keywords

2k-Lie algebras, standard polynomial., standard polynomial, Cohomology of Lie (super)algebras, Deformation theory, Gerstenhaber-Nijenhuis bracket, FOS: Mathematics, Graded Lie (super)algebras, graded Lie algebras, quadratic Lie algebra, [MATH.MATH-RT] Mathematics [math]/Representation Theory [math.RT], Gerstenhaber bracket, Representation Theory (math.RT), cyclic cohomology, super Poisson brackets, Schouten bracket, Mathematics - Representation Theory, 17B70, 17B05, 17B20, 17B56, 17B60, 17B65

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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