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Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
Université de Haute Alsace, France.
Lund University. (Matematik/tillämpad matematik)ORCID iD: 0000-0003-4554-6528
2010 (English)In: Forum mathematicum, ISSN 0933-7741, E-ISSN 1435-5337, Vol. 22, no 4, p. 715-739Article in journal (Refereed) Published
Abstract [en]

The aim of this paper is to extend to Hom-algebra structures the theory of 1-parameter formal deformations of algebras which was introduced by Gerstenhaber for associative algebras and extended to Lie algebras by Nijenhuis and Richardson. In this paper, formal deformations of Hom-associative and Hom-Lie algebras are studied. The first groups of a deformation cohomology are constructed and several examples of deformations are given. We also provide families of Hom-Lie algebras deforming Lie algebra 2(K) and describe as formal deformations the q-deformed Witt algebra and Jackson 2(K).

Place, publisher, year, edition, pages
2010. Vol. 22, no 4, p. 715-739
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-22063DOI: 10.1515/FORUM.2010.040ISI: 000279640700008Scopus ID: 2-s2.0-77953349114OAI: oai:DiVA.org:mdh-22063DiVA, id: diva2:679243
Available from: 2013-12-14 Created: 2013-10-23 Last updated: 2017-12-06Bibliographically approved

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Publisher's full textScopushttp://dx.doi.org/10.1515/FORUM.2010.040

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Silvestrov, Sergei

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