Cohomology and Deformation of Leibniz Superalgebras
RB Yadav
TL;DR
This paper develops a deformation cohomology framework for Leibniz superalgebras and explores their formal deformation theory, providing new tools for understanding their structural variations.
Contribution
It introduces a novel deformation cohomology and formal deformation theory specifically for Leibniz superalgebras, expanding the mathematical understanding of their deformations.
Findings
Defined deformation cohomology for Leibniz superalgebras
Established formal deformation theory for these structures
Provided methods to analyze their structural changes
Abstract
In this article, we introduce a deformation cohomology of Leibniz superalgebras. Also, we introduce formal deformation theory of Leibniz superalgebras. Using deformation cohomology we study the formal deformation theory of Leibniz superalgebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology