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A note on quasi-Lie and Hom-Lie structures of σ-derivations of C[z1±1, \dots, zn±1]
Mälardalen University, School of Education, Culture and Communication. (Mathematics/Applied Mathematics)ORCID iD: 0000-0003-4554-6528
2009 (English)In: Generalized Lie theory in mathematics, physics and beyond / [ed] Silvestrov, S.D.; Paal, E.; Abramov, V.; Stolin, A., Springer, 2009, 257-262 p.Chapter in book (Refereed)
Abstract [en]

In a previous paper we studied the properties of the bracket defined by Hartwig, Larsson and the second author in (J. Algebra 295, 2006) on σ-derivations of Laurent polynomials in one variable. Here we consider the case of several variables, and emphasize on the question of when this bracket defines a hom-Lie structure rather than a quasi-Lie one.

Place, publisher, year, edition, pages
Springer, 2009. 257-262 p.
Keyword [en]
hom-Lie algebra, quasi-hom-Lie algebra, Laurent polynomials, Hartwig-Larsson-Silvestrov bracket
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-22081DOI: 10.1007/978-3-540-85332-9_22ISBN: 978-3-540-85331-2 (print)ISBN: 978-3-540-85332-9 (print)OAI: oai:DiVA.org:mdh-22081DiVA: diva2:682322
Available from: 2013-12-27 Created: 2013-10-23 Last updated: 2014-01-21Bibliographically approved

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Publisher's full texthttp://dx.doi.org/10.1007/978-3-540-85332-9_22

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CiteExportLink to record
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