Notes on Formal Deformations of Homassociative and HomLie Algebras
(2007) In Preprints in Mathematical Sciences19990101+01:00 Abstract
 The aim of this paper is to extend to Homalgebra structures the theory of formal deformations of algebras which was introduced by Gerstenhaber for associative algebras and extended to Lie algebras by NijenhuisRichardson. We deal with Homassociative and HomLie algebras. We construct the first groups of a deformation cohomology and give several examples of deformations. We provide families of HomLie algebras deforming Lie algebra sl2 and describe as formal deformations the
qdeformed Witt algebra and Jackson sl2.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/959513
 author
 Makhlouf, Abdenacer and Silvestrov, Sergei ^{LU}
 organization
 publishing date
 2007
 type
 Contribution to journal
 publication status
 submitted
 subject
 keywords
 cohomology, HomPoisson algebra, Deformation, Homassociative algebra, HomLie algebra
 in
 Preprints in Mathematical Sciences19990101+01:00
 publisher
 Lund University
 external identifiers

 Other:LUTFMA50952007/116/(2007)
 ISSN
 14039338
 project
 Noncommutative Analysis of Dynamics, Fractals and Wavelets
 Noncommutative Geometry in Mathematics and Physics
 language
 English
 LU publication?
 yes
 id
 1761ee50b0764ba5b7b18256e166a5bd (old id 959513)
 alternative location
 http://arxiv.org/abs/0712.3130
 date added to LUP
 20080128 15:34:36
 date last changed
 20161125 14:39:43
@article{1761ee50b0764ba5b7b18256e166a5bd, abstract = {The aim of this paper is to extend to Homalgebra structures the theory of formal deformations of algebras which was introduced by Gerstenhaber for associative algebras and extended to Lie algebras by NijenhuisRichardson. We deal with Homassociative and HomLie algebras. We construct the first groups of a deformation cohomology and give several examples of deformations. We provide families of HomLie algebras deforming Lie algebra sl2 and describe as formal deformations the <br/><br> qdeformed Witt algebra and Jackson sl2.}, author = {Makhlouf, Abdenacer and Silvestrov, Sergei}, issn = {14039338}, keyword = {cohomology,HomPoisson algebra,Deformation,Homassociative algebra,HomLie algebra}, language = {eng}, publisher = {Lund University}, series = {Preprints in Mathematical Sciences19990101+01:00}, title = {Notes on Formal Deformations of Homassociative and HomLie Algebras}, year = {2007}, }