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Can I read Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras on EtoBox?
Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras by Abdenacer Makhlouf; Sergei Silvestrov is a Mathematics article available to read on EtoBox.
What is Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras about?
The aim of this paper is to extend to Hom-algebra structures the theory of 1-parameter formal deformations of algebras which was introduced by Gerstenhaber for associative algebras and extended to Lie algebras by Nijenhuis and Richardson. In this paper, formal deformations of Hom-associative and Hom-Lie algebras are studied. The first groups of a deformation cohomology are constructed and several examples of deformations are given. We also provide families of Hom-Lie algebras deforming Lie algebra sl 2 (K) and describe as formal deformations the q-deformed Witt algebra and Jackson sl 2 (K).
Who reads Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Abdenacer Makhlouf; Sergei Silvestrov
- Publisher
- Walter de Gruyter GmbH
- Published
- 2010
- Language
- EN
- Field
- Mathematics (Physical Sciences)