-Leibniz bialgebras (-Lie bialgebras).

Autor: Rezaei-Aghdam, A., Sedghi-Ghadim, L.
Předmět:
Zdroj: International Journal of Geometric Methods in Modern Physics; Oct2017, Vol. 14 Issue 10, p-1, 27p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index