Modules Over Color Hom-Poisson Algebras
| Autor: | Ibrahima Bakayoko |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Modules over color Hom-Poisson algebras Mathematics::Rings and Algebras Non-associative algebra Subalgebra Universal enveloping algebra Combinatorics Quadratic algebra Interior algebra Color hom-Lie algebras Operad theory Color hom-associative algebras Mathematics::Category Theory Homomorphism Hom-modules Division algebra Algebra representation Modules over color Hom-Lie algebras Physics::Accelerator Physics Formal deformation Mathematics |
| Zdroj: | J. Gen. Lie Theory Appl. |
| ISSN: | 1736-4337 |
| Popis: | In this paper we introduce color Hom-Poisson algebras and show that every color Hom-associative algebra has a non-commutative Hom-Poisson algebra structure in which the Hom-Poisson bracket is the commutator bracket. Then we show that color Poisson algebras (respectively morphism of color Poisson algebras) turn to color Hom-Poisson algebras (respectively morphism of Color Hom-Poisson algebras) by twisting the color Poisson structure. Next we prove that modules over color Hom–associative algebras A extend to modules over the color Hom-Lie algebras L(A), where L(A) is the color Hom-Lie algebra associated to the color Hom-associative algebra A. Moreover, by twisting a color Hom-Poisson module structure map by a color Hom-Poisson algebra endomorphism, we get another one. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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