Quasi-Lie structure of σ-derivations of C[t^+-1]
Richard, Lionel; Silvestrov, Sergei (2008). Quasi-Lie structure of σ-derivations of C[t^+-1]. Journal of Algebra, 319, (3), 1285 - 1304
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Published
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English
Authors:
Richard, Lionel
;
Silvestrov, Sergei
Department:
Mathematics (Faculty of Engineering)
Non-commutative Geometry-lup-obsolete
Project:
Non-commutative Analysis of Dynamics, Fractals and Wavelets
Non-commutative Geometry in Mathematics and Physics
Research Group:
Non-commutative Geometry-lup-obsolete
Abstract:
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
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