Hom-Gel'fand-Dorfman conformal superbialgebras

Year 2024, Volume: 53 Issue: 3, 577 - 585, 27.06.2024

Taoufik Chtioui

https://doi.org/10.15672/hujms.1196147

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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