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On (n+1)-Hom-Lie algebras induced by n-Hom-Lie algebras
Univ Haute Alsace, France.
Univ Haute Alsace, France.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2016 (English)In: Georgian Mathematical Journal, ISSN 1072-947X, E-ISSN 1572-9176, Vol. 23, no 1, 75-95 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Västerås, 2016. Vol. 23, no 1, 75-95 p.
Keyword [en]
n-Hom-Lie algebra; solvable; central extension; cohomology
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-31353DOI: 10.1515/gmj-2015-0063ISI: 000371290800009Scopus ID: 2-s2.0-84960983910OAI: oai:DiVA.org:mdh-31353DiVA: diva2:914651
Available from: 2016-03-24 Created: 2016-03-24 Last updated: 2017-11-30Bibliographically approved

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Silvestrov, Sergei

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