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The construction of Hom left-symmetric conformal bialgebras (1807.11271v1)

Published 30 Jul 2018 in math.RA

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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