Hom-Gel'fand-Dorfman conformal superbialgebras

Abstract

Gel'fand Dorfman superbialgebra, which is both a Lie superalgebra and a (left) Novikov superalgebra with some compatibility condition, appears in the study of Hamiltonian pairs in completely integrable systems and a class of special Lie conformal superalgebras called quadratic Lie conformal superalgebras. In the present paper, we generalize this algebraic structure to the Hom-conformal case. We introduce first, Hom-Novikov conformal superalgebras and exihibit several properties. Then we introduce Hom-Gel'fand Dorfman superbialgebra and provide some construction results.

Keywords

• Hom-Lie conformal superalgebra
• Hom-Gel’fand Dorfman conformal superbialgebra
• Hom-Novikov-Poisson superalgebra
• Hom-Novikov conformal superalgebra

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