Czechoslovak Mathematical Journal

Czechoslovak Mathematical Journal, Vol. 71, No. 2, pp. 321-333, 2021

A new approach to Hom-left-symmetric bialgebras

Qinxiu Sun, Qiong Lou, Hongliang Li

Received May 29, 2019. Published online February 15, 2021.

Abstract: The main purpose of this paper is to consider a new definition of Hom-left-symmetric bialgebra. The coboundary Hom-left-symmetric bialgebra is also studied. In particular, we give a necessary and sufficient condition that $s$-matrix is a solution of the Hom-$S$-equation by a cocycle condition.

Keywords: Hom-left-symmetric algebra; Hom-$S$-equation; Hom-left-symmetric bialgebra

Classification MSC: 17B60, 17A30, 81R12

DOI: 10.21136/CMJ.2021.0238-19

PDF available at: Springer Institute of Mathematics CAS Digital Mathematics Library

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Affiliations: Qinxiu Sun (corresponding author), Qiong Lou, Department of Mathematics, Zhejiang University of Science and Technology, 318 Liuhe Rd, Hangzhou, 310023, P. R. China, e-mail: qxsun@126.com, bearqiong@163.com; Hongliang Li, Department of Mathematics, Zhejiang International Studies University, 299 Liuhe Rd, Xihu, Hangzhou, 310023, P. R. China, e-mail: honglli@126.com

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