Hom-Gel.fand.Dorfman super-bialgebras and Hom-Lie conformal superalgebras

Authors
Yuan, La Mei Chen, Sheng He, Cai Xia
Citation
Yuan, La Mei et al., Hom-Gel.fand.Dorfman super-bialgebras and Hom-Lie conformal superalgebras, Acta mathematica Sinica. English series (Print) , 33(1), 2017, pp. 96-116
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
33
Issue
1
Year of publication
2017
Pages
96 - 116
Database
ACNP
SICI code
Abstract
The aim of this paper is to introduce and study Hom-Gel.fand.Dorfman super-bialgebras and Hom-Lie conformal superalgebras. In this paper, we provide different ways for constructing Hom-Gel.fand.Dorfman super-bialgebras. Also, we obtain some infinite-dimensional Hom-Lie superalgebras from affinization of Hom-Gel.fand.Dorfman super-bialgebras. Finally, we give a general construction of Hom-Lie conformal superalgebras from Hom-Lie superalgebras and establish the equivalence between quadratic Hom-Lie conformal superalgebras and Hom-Gel.fand.Dorfman super-bialgebras.