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Hom-Gel'fand–Dorfman Super-bialgebras and Hom-Lie Conformal Superalgebras
基金项目:Supported by National Natural Science Foundation grants of China (Grant No. 11301109) and the Research Fund for the Doctoral Program of Higher Education (Grant No. 20132302120042)
摘    要: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 HomGel'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.


Hom-Gel’fand–Dorfman super-bialgebras and Hom-Lie conformal superalgebras
Authors:La Mei Yuan  Sheng Chen  Cai Xia He
Institution:1. Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute of Technology, Harbin 150080, P. R. China; 2. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China
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.
Keywords:Lie conformal superalgebra  Hom-Lie superalgebra  Hom-Lie conformal superalgebra  Hom-Gel'fand-Dorfman super-bialgebra  
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