Super Hom-Gel'fand-Dorfman bialgebras and Hom-Lieconformal superalgebras

YUAN La-Mei; CHEN Sheng; He Cai-Xia

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Super Hom-Gel'fand-Dorfman bialgebras and Hom-Lieconformal superalgebras

YUAN La-Mei 1, CHEN Sheng 2, He Cai-Xia 2

1. Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute of Technology, Harbin150080

2. Department of Mathematics, Harbin Institute of Technology, Harbin150001

*Correspondence author

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Funding: National Natural Science Foundation grants of China （No.11301109）, the Research Fund for the Doctoral Program of Higher Education （No.20132302120042）

Opened online:16 November 2015

Accepted by: none

Citation: YUAN La-Mei, CHEN Sheng, He Cai-Xia.Super Hom-Gel'fand-Dorfman bialgebras and Hom-Lieconformal superalgebras[OL]. [16 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4660822

The purpose of this paper is to introduce and study super Hom-Gel'fand-Dorfman bialgebras and Hom-Lie conformal superalgebras. In this paper, different ways for constructing super Hom-Gel'fand-Dorfman bialgebras are provided and a class of infinite-dimensional Hom-Lie superalgebras from affinization of super Hom-Gel'fand-Dorfman bialgebras are obtained. Also, a general construction of Hom-Lie conformal superalgebras from Hom-Lie superalgebras is given and equivalence of quadratic Hom-Lie conformal superalgebras and super Hom-Gel'fand-Dorfman bialgebras is established. Finally, one-dimensional central extensions of quadratic Hom-Lie conformal superalgebras are studied.

Keywords:Hom-Lie superalgebra; super Hom-Gel'fand-Dorfmanbialgebra; Hom-Lie conformal superalgebra; central extension

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