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arXiv · 1507.08908

Super Hom-Gel'fand-Dorfman bialgebras and Hom-Lie conformal superalgebras

Lamei Yuan·Sheng Chen·Caixia He
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Abstract

The purpose of this paper is to introduce and study super Hom-Gel'fand-Dorfman bialgebras and Hom-Lie conformal superalgebras. In this paper, we provide different ways for constructing super Hom-Gel'fand-Dorfman bialgebras and obtain some infinite-dimensional Hom-Lie superalgebras from affinization of super Hom-Gel'fand-Dorfman bialgebras. Also, we give a general construction of Hom-Lie conformal superalgebras from Hom-Lie superalgebras and establish equivalence of quadratic Hom-Lie conformal superalgebras and super Hom-Gel'fand-Dorfman bialgebras. Finally, we characterize one-dimensional central extensions of quadratic Hom-Lie conformal superalgebras by using certain bilinear forms of super Hom-Gel'fand-Dorfman bialgebras.

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Lamei Yuan, Sheng Chen, Caixia He. 2015-07-27. Super Hom-Gel'fand-Dorfman bialgebras and Hom-Lie conformal superalgebras. https://arxiv.org/abs/1507.08908

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