Title Quasi-Lie structure of σ-derivations of Ct^+-1
Authors Sergei Silvestrov, Lionel Richard
Alternative Location http://www.sciencedirect.co..., Restricted Access
Alternative Location http://dx.doi.org/10.1016/j..., Restricted Access
Publication Journal of Algebra
Year 2008
Volume 319
Issue 3
Pages 1285 - 1304
Document type Article
Status Published
Quality controlled Yes
Language eng
Publisher Elsevier
Abstract English 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.
Keywords q-deformed Witt algebras, Twisted bracket, Quasi-Lie algebras, σ-derivations,
ISBN/ISSN/Other ISSN: 0021-8693

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