Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras

Details Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras

2007-12-19

arxiv.org/abs/0712.3130v1

Mathematics

Rings and Algebras

16 pages

Scientific paper

The aim of this paper is to extend to Hom-algebra structures the theory of formal deformations of algebras which was introduced by Gerstenhaber for associative algebras and extended to Lie algebras by Nijenhuis-Richardson. We deal with Hom-associative and Hom-Lie algebras. We construct the first groups of a deformation cohomology and give several examples of deformations. We provide families of Hom-Lie algebras deforming Lie algebra $sl_2$ and describe as formal deformations the q-deformed Witt algebra and Jackson $sl_2$.

Affiliated with

Also associated with

No associations

Rating

Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-146366