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A Hom-version of the affinizations of Balinskii–Novikov and Novikov superalgebras
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In this paper, we introduce the notions of Hom-Balinskii–Novikov and Hom-Novikov superalgebras, in which the defining identities are twisted by homomorphisms. Then we construct some infinite-dimensional Hom-Lie superalgebras by the affinizations of the above two Hom-superalgebras. Moreover, we apply the bilinear forms with some invariance conditions on the Hom-Balinskii–Novikov and Hom-Novikov superalgebras to construct central extensions of the infinite-dimensional Hom-Lie superalgebras.
Title: A Hom-version of the affinizations of Balinskii–Novikov and Novikov superalgebras
Description:
In this paper, we introduce the notions of Hom-Balinskii–Novikov and Hom-Novikov superalgebras, in which the defining identities are twisted by homomorphisms.
Then we construct some infinite-dimensional Hom-Lie superalgebras by the affinizations of the above two Hom-superalgebras.
Moreover, we apply the bilinear forms with some invariance conditions on the Hom-Balinskii–Novikov and Hom-Novikov superalgebras to construct central extensions of the infinite-dimensional Hom-Lie superalgebras.
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