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arXiv · 1807.11271

The construction of Hom left-symmetric conformal bialgebras

Shuangjian Guo·Xiaohui Zhang·Shengxiang Wang
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Abstract

In this paper, we first introduce the notion of Hom-left-symmetric conformal bialgebras and show some nontrivial examples. Also, we present construction methods of matched pairs of Hom-Lie conformal algebras and Hom-left-symmetric conformal algebras. Finally, we prove that a finite Hom-left-symmetric conformal bialgebra is free as a $\mathbb{C}[\partial]$-module is equivalent to a Hom-parak\"{a}hler Lie conformal algebra. In particular, we investigate the coboundary Hom-left-symmetric conformal bialgebras.

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Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang. 2018-07-30. The construction of Hom left-symmetric conformal bialgebras. https://arxiv.org/abs/1807.11271

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