Hom-Gel'fand–Dorfman Super-bialgebras and Hom-Lie Conformal Superalgebras  

作　　者：La Mei YUAN Sheng CHEN Cai Xia HE 

机构地区：[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

出　　处：《Acta Mathematica Sinica,English Series》2017年第1期96-116,共21页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation grants of China(Grant No.11301109);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 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.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.

关 键 词：Lie conformal superalgebra Horn-Lie superalgebra Hom-Lie conformal superalgebra Hom-Gel＇fand-Dorfman super-bialgebra 

分 类 号：O152.5[理学—数学]