On Hom-Lie superbialgebras
Rings and Algebras
2017-06-21 v1 Mathematical Physics
math.MP
Abstract
The purpose of this paper is to generalize to -graded case the study of Hom-Lie bialgebras which were discussed first by D. Yau, then by C. Bai and Y. Sheng. We provide different ways for constructing Hom-Lie superbialgebras. Also we define Matched pairs, Manin supertriples and discuss their relationships. Moreover, we study coboundary and triangular Hom-Lie bialgebras, as well as infinitesimal deformations of the cobracket.
Cite
@article{arxiv.1706.06540,
title = {On Hom-Lie superbialgebras},
author = {Mohamed Fadous and Sami Mabrouk and Abdenacer Makhlouf},
journal= {arXiv preprint arXiv:1706.06540},
year = {2017}
}
Comments
22 pages