Quasi-Lie structure of σ-derivations of C[t^+-1]
(2008) In Journal of Algebra 319(3). p.1285-1304- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/939214
- author
- Richard, Lionel and Silvestrov, Sergei LU
- organization
- publishing date
- 2008
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- q-deformed Witt algebras, Twisted bracket, Quasi-Lie algebras, σ-derivations
- in
- Journal of Algebra
- volume
- 319
- issue
- 3
- pages
- 1285 - 1304
- publisher
- Elsevier
- external identifiers
-
- wos:000253339200016
- scopus:38049018516
- ISSN
- 0021-8693
- DOI
- 10.1016/j.jalgebra.2007.09.029
- project
- Non-commutative Analysis of Dynamics, Fractals and Wavelets
- Non-commutative Geometry in Mathematics and Physics
- language
- English
- LU publication?
- yes
- id
- df585cd5-beb9-4afd-83c3-541acb36be28 (old id 939214)
- alternative location
- http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6WH2-4R70W0B-1-6&_cdi=6838&_user=745831&_orig=browse&_coverDate=02%2F01%2F2008&_sk=996809996&view=c&wchp=dGLbVlz-zSkWA&md5=955548b3d4523a901a83fb19b2c43767&ie=/sdarticle.pdf
- date added to LUP
- 2016-04-01 11:49:30
- date last changed
- 2022-04-05 05:39:18
@article{df585cd5-beb9-4afd-83c3-541acb36be28,
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.}},
author = {{Richard, Lionel and Silvestrov, Sergei}},
issn = {{0021-8693}},
keywords = {{q-deformed Witt algebras; Twisted bracket; Quasi-Lie algebras; σ-derivations}},
language = {{eng}},
number = {{3}},
pages = {{1285--1304}},
publisher = {{Elsevier}},
series = {{Journal of Algebra}},
title = {{Quasi-Lie structure of σ-derivations of C[t^+-1]}},
url = {{http://dx.doi.org/10.1016/j.jalgebra.2007.09.029}},
doi = {{10.1016/j.jalgebra.2007.09.029}},
volume = {{319}},
year = {{2008}},
}