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Hom Gel'fand-Dorfman bialgebras and Hom-Lie conformal algebras (1401.3610v1)
Published 11 Jan 2014 in math.RT, math-ph, and math.MP
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.