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On (n+1)-Hom-Lie algebras induced by n -Hom-Lie algebras

On (n+1)-Hom-Lie algebras induced by n -Hom-Lie algebras Abstract The purpose of this paper is to study the relationships between an n -Hom-Lie algebra and its induced (n+1)-Hom-Lie algebra. We provide an overview of the theory and explore structure properties such as ideals, centers, derived series, solvability, nilpotency, central extensions, and the cohomology. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

On (n+1)-Hom-Lie algebras induced by n -Hom-Lie algebras

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Publisher
de Gruyter
Copyright
Copyright © 2016 by the
ISSN
1072-947X
eISSN
1572-9176
DOI
10.1515/gmj-2015-0063
Publisher site
See Article on Publisher Site

Abstract

Abstract The purpose of this paper is to study the relationships between an n -Hom-Lie algebra and its induced (n+1)-Hom-Lie algebra. We provide an overview of the theory and explore structure properties such as ideals, centers, derived series, solvability, nilpotency, central extensions, and the cohomology.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Mar 1, 2016

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