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arXiv · 1401.3610

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.

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Lamei Yuan. 2014-01-11. Hom Gel'fand-Dorfman bialgebras and Hom-Lie conformal algebras. https://doi.org/10.1063/1.4870870

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