Hom-Gel'fand-Dorfman conformal superbialgebras

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Hacettepe Journal of Mathematics and Statistics
Volume:53 Issue:3
Hom-Gel'fand-Dorfman conformal superbialgebras

Hom-Gel'fand-Dorfman conformal superbialgebras

Pages : 577-585

View : 355 | Download : 418

Publication Date : 2024-06-27

Article Type : Research Paper

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 Gelfand Dorfman conformal superbialgebra, Hom Novikov Poisson superalgebra, Hom Novikov conformal superalgebra

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