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Quasi-Lie structure of σ-derivations of C[t±1]
University of Edinburgh.
Lund University. (Mathematics/Applied Mathematics)ORCID iD: 0000-0003-4554-6528
2008 (English)In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 319, no 3, p. 1285-1304Article in journal (Refereed) Published
Abstract [en]

Hartwig, Larsson and Silvestrov in [J.T. Hartwig, D. Larsson, S.D. Silvestrov, Deformations of Lie algebras using σ-derivations, J. Algebra 295 (2) (2006) 314–361] defined a bracket on σ-derivations of a commutative algebra. We show that this bracket preserves inner derivations, and based on this obtain structural results providing new insights into σ-derivations on Laurent polynomials in one variable.

Place, publisher, year, edition, pages
2008. Vol. 319, no 3, p. 1285-1304
Keyword [en]
q-deformed Witt algebras, Twisted bracket, Quasi-Lie algebras, σ-derivations
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-22093DOI: 10.1016/j.jalgebra.2007.09.029ISI: 000253339200016Scopus ID: 2-s2.0-38049018516OAI: oai:DiVA.org:mdh-22093DiVA, id: diva2:682645
Funder
Swedish Research Council
Available from: 2013-12-28 Created: 2013-10-23 Last updated: 2017-12-06Bibliographically approved

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Publisher's full textScopushttp://dx.doi.org/10.1016/j.jalgebra.2007.09.029

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Silvestrov, Sergei D.

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