Cohomology of Hom-Lie superalgebras and q-deformed Witt superalgebra
Faouzi Ammar, Abdenacer Makhlouf, Nejib Saadoui
TL;DR
This paper develops the theory of cohomology and representations for Hom-Lie superalgebras, and applies these concepts to compute derivations and second cohomology of q-deformed Witt superalgebra.
Contribution
It introduces the cohomology and representation theory for Hom-Lie superalgebras and applies these to q-deformed Witt superalgebra, including derivations and central extensions.
Findings
Computed derivations of q-deformed Witt superalgebra
Determined the second cohomology group of q-deformed Witt superalgebra
Analyzed central extensions of Hom-Lie superalgebras
Abstract
The purpose of this paper is to define the representation and the cohomology of Hom-Lie superalgebras. Moreover we study Central extensions and provide as application the computations of the derivations and second cohomology group of q-deformed Witt superalgebra.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons