On Hom-algebra structures
| dc.creator | Makhlouf, A. | |
| dc.creator | Silvestrov, S. | |
| dc.date | 2006-09-18 | |
| dc.date | 2007-06-02 | |
| dc.date.accessioned | 2026-07-07T08:08:12Z | |
| dc.date.available | 2026-07-07T08:08:12Z | |
| dc.description | A Hom-algebra structure is a multiplication on a vector space where the structure is twisted by a homomorphism. The structure of Hom-Lie algebra was introduced by Hartwig, Larsson and Silvestrov and extended by Larsson and Silvestrov to quasi-hom Lie and quasi-Lie algebras. In this paper we introduce and study Hom-associative, Hom-Leibniz, and Hom-Lie admissible algebraic structures which generalize the well known associative, Leibniz and Lie admissible algebras. Also, we characterize the flexible Hom-algebras in this case. We also explain some connections between Hom-Lie algebras and Santilli's isotopies of associative and Lie algebras. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0609501 | |
| dc.identifier | http://arxiv.org/abs/math/0609501 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131184 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.subject | 17A30, 16Y99,17A01,17A20,17D25 | |
| dc.title | On Hom-algebra structures | |
| dc.type | text |