The construction of Hom left-symmetric conformal bialgebras

2018/07/30 by Guo, Shuangjian, Zhang, Xiaohui, Wang, Shengxiang
#17A30 #17B45 #17B81 #17D25 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1807.11271

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 ℂ[∂]-module is equivalent to a Hom-parakähler Lie conformal algebra. In particular, we investigate the coboundary Hom-left-symmetric conformal bialgebras.

Related

• Algebraic constructions for left-symmetric conformal algebras
• Representations and derivations of Hom-Lie conformal superalgebras
• Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra W(a,b)
• Hom-center-symmetric algebras and bialgebras
• The cohomology of left-symmetric conformal algebra and its applications