Some Properties Of Bihom-Novikov Superalgebras And Generalized Omni-Lie Algebras

The main purpose of this paper is to give properties of Bihom-Novikov superalgebras and generalized omni-Lie algebras.First,we construct between Novikov superalgebras and Bihom-Novikov superalgebras mutually.Also we build quadratic Bihom-Lie superalgebras from quadratic Bihom-Novikov superalgebras.Then we give representations and low dimensional cohomology of Bihom-Novikov superalgebras.As for their application,2-cohomology is used to describe the equivalent class and analytically rigidity of 1-parameter formal deformations.Finally,we introduce the notion and properties of generalized omni-Lie algebras.Also we prove that there is a one-to-one correspondence between Dirac structures of a generalized omni-Lie algebra and Lie structures on its linear space.