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Geometric aspects of extensions of hom-Lie superalgebras

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In this paper, we deal with (non-abelian) extensions of a given hom-Lie superalgebra and find a cohomological obstacle to the existence of extensions of hom-Lie superalgebras. Moreover, the setting of… Click to show full abstract

In this paper, we deal with (non-abelian) extensions of a given hom-Lie superalgebra and find a cohomological obstacle to the existence of extensions of hom-Lie superalgebras. Moreover, the setting of covariant exterior derivatives, super connection, curvature and the Bianchi identity in differential geometry has been studied.

Keywords: lie superalgebras; hom lie; geometric aspects; aspects extensions; geometry; extensions hom

Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2017

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