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zbMATH Open
Article . 2010
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$\omega$-Lie algebras

\(\omega \)-Lie algebras
Authors: Zusmanovich, Pasha;

$\omega$-Lie algebras

Abstract

We study a certain generalization of Lie algebras where the Jacobian of three elements does not vanish but is equal to an expression depending on a skew-symmetric bilinear form.

Comment: v3: minor corrections in English

Keywords

Lie (super)algebras associated with other structures (associative, Jordan, etc.), Nonassociative algebras satisfying other identities, altered Jacobi identity, 17A60, 17B05, 17B40, 17-04, skew symmetric bilinear form, derivations, Mathematics - Rings and Algebras

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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!
0
Average
Average
Average
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