Affiliation:
1. Faculty of sciences of Sfax
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.
Subject
Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis
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