Quasi-Deformations of sl2(F) Using Twisted Derivations
(2007) In Communications in Algebra 35(12). p.4303-4318- Abstract
- In this article we apply a method devised in Hartwig, Larsson, and Silvestrov (2006) and Larsson and Silvestrov (2005a) to the simple 3-dimensional Lie algebra sl2(F). One of the main points of this deformation method is that the deformed algebra comes endowed with a canonical twisted Jacobi identity. We show in the present article that when our deformation scheme is applied to sl2(F) we can, by choosing parameters suitably, deform sl2(F) into the Heisenberg Lie algebra and some other 3-dimensional Lie algebras in addition to more exotic types of algebras, this being in stark contrast to the classical deformation schemes where sl2(F) is rigid.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/939447
- author
- Silvestrov, Sergei LU and Larsson, Daniel LU
- organization
- publishing date
- 2007
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Twisted derivation, Quasi-deformations, Twisted Jacobi identity, Quasi-Lie algebras
- in
- Communications in Algebra
- volume
- 35
- issue
- 12
- pages
- 4303 - 4318
- publisher
- Taylor & Francis
- external identifiers
-
- wos:000251875700039
- scopus:37249062267
- ISSN
- 0092-7872
- DOI
- 10.1080/00927870701545127
- project
- Non-commutative Analysis of Dynamics, Fractals and Wavelets
- Non-commutative Geometry in Mathematics and Physics
- language
- English
- LU publication?
- yes
- id
- 90c5d4ef-2873-43c7-b006-d6bbfeed3984 (old id 939447)
- alternative location
- http://www.informaworld.com/smpp/content~content=a788544216~db=all~order=page
- date added to LUP
- 2016-04-01 11:53:16
- date last changed
- 2022-03-28 17:11:51
@article{90c5d4ef-2873-43c7-b006-d6bbfeed3984, abstract = {{In this article we apply a method devised in Hartwig, Larsson, and Silvestrov (2006) and Larsson and Silvestrov (2005a) to the simple 3-dimensional Lie algebra sl2(F). One of the main points of this deformation method is that the deformed algebra comes endowed with a canonical twisted Jacobi identity. We show in the present article that when our deformation scheme is applied to sl2(F) we can, by choosing parameters suitably, deform sl2(F) into the Heisenberg Lie algebra and some other 3-dimensional Lie algebras in addition to more exotic types of algebras, this being in stark contrast to the classical deformation schemes where sl2(F) is rigid.}}, author = {{Silvestrov, Sergei and Larsson, Daniel}}, issn = {{0092-7872}}, keywords = {{Twisted derivation; Quasi-deformations; Twisted Jacobi identity; Quasi-Lie algebras}}, language = {{eng}}, number = {{12}}, pages = {{4303--4318}}, publisher = {{Taylor & Francis}}, series = {{Communications in Algebra}}, title = {{Quasi-Deformations of sl2(F) Using Twisted Derivations}}, url = {{http://dx.doi.org/10.1080/00927870701545127}}, doi = {{10.1080/00927870701545127}}, volume = {{35}}, year = {{2007}}, }