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- Title
-Leibniz bialgebras (-Lie bialgebras).
- Authors
Rezaei-Aghdam, A.; Sedghi-Ghadim, L.
- Abstract
The aim of this paper is to extend the notion of Leibniz bialgebra (and Lie bialgebra) to -Leibniz bialgebra (and -Lie bialgebra) by use of the cohomology complex of -Leibniz algebras. Some theorems about Leibniz bialgebras are extended and proved in the case of -Leibniz bialgebras (-Lie bialgebras). Moreover, a new theorem on the correspondence between -Leibniz bialgebra and its associated Leibniz bialgebra is proved. Finally, some examples are discussed in detail.
- Subjects
ALGEBRA; COHOMOLOGY theory; DEFORMATIONS (Mechanics); ENGEL curve; JACOBI series
- Publication
International Journal of Geometric Methods in Modern Physics, 2017, Vol 14, Issue 10, p-1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887817501420