Hom Gel'fand-Dorfman bialgebras and Hom-Lie conformal algebras

Abstract

The aim of this paper is to introduce the notions of Hom Gel'fand-Dorfman bialgebra and Hom-Lie conformal algebra. In this paper, we give four constructions of Hom Gel'fand-Dorfman bialgebras. Also, we provide a general construction of Hom-Lie conformal algebras from Hom-Lie algebras. Finally, we prove that a Hom Gel'fand-Dorfman bialgebra is equivalent to a Hom-Lie conformal algebra of degree 2.

21 pages; no figures

References in corpus (3)

• Hom-algebras and homology
• Hom-Yang-Baxter equation, Hom-Lie algebras, and quasi-triangular bialgebras
• Enveloping algebras of Hom-Lie algebras

Cited by in corpus (5)

• Deformations and generalized derivations of Hom-Lie conformal algebras
• The construction of Hom left-symmetric conformal bialgebras
• Representations and derivations of Hom-Lie conformal superalgebras
• Cohomology and derivations of BiHom-Lie conformal algebras
• Super Hom-Gel'fand-Dorfman bialgebras and Hom-Lie conformal superalgebras