Cohomology and Deformation of Virasoro Extensions of q-Witt Hom-Lie superalgebra
Abdenacer Makhlouf, Nejib Saadaoui
TL;DR
This paper investigates the cohomology and deformation theory of Virasoro extensions related to q-deformed Witt Hom-Lie superalgebras, including specific Ramond Hom-superalgebras, advancing understanding of their algebraic structures.
Contribution
It introduces the cohomology and deformation analysis for Virasoro extensions of q-deformed Witt Hom-Lie superalgebras, focusing on Ramond types, which is a novel exploration in this area.
Findings
Cohomology groups for the studied superalgebras are computed.
Deformation structures of the Ramond Hom-superalgebras are characterized.
New insights into the algebraic properties of q-deformed superalgebras are provided.
Abstract
The purpose of this paper is to study Virasoro extensions of the q-deformed Witt Hom-Lie superalgebra. Moreover, we provide the cohomology and deformations of the Ramond Hom-superalgebra and special Ramond Hom-superalgebra.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology