Cohomology of n-ary-Nambu-Lie superalgebras and super_1 3-algebra
Faouzi Ammar, Nejib Saadaoui
TL;DR
This paper defines the representation and cohomology of n-ary-Nambu-Lie superalgebras, studies extensions, and computes derivations and second cohomology of super w_1 3-algebra, advancing the algebraic understanding of these structures.
Contribution
It introduces the cohomology theory for n-ary-Nambu-Lie superalgebras and provides explicit calculations for super w_1 3-algebra, a novel contribution.
Findings
Defined the representation and cohomology of n-ary-Nambu-Lie superalgebras.
Computed derivations and second cohomology group of super w_1 3-algebra.
Analyzed extensions within the framework of these superalgebras.
Abstract
The purpose of this paper is define the representation and the cohomology of n-ary-Nambu-Lie superalgebras. Morever we study extensions and provide the computation of the derivations and second cohomology group of super w_1 3-algebra
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology