Filiform Z2xZ2-color Lie superalgebras
R.M. Navarro
TL;DR
This paper investigates the structure of filiform Z2xZ2-color Lie superalgebras, providing their cocycle dimensions and bases, advancing understanding of their deformation theory.
Contribution
It computes the total dimension of cocycles for all such superalgebras and offers explicit bases in specific cases, enhancing deformation analysis.
Findings
Total cocycle dimensions for all Z2xZ2-color Lie superalgebras are determined.
Explicit bases of cocycles are provided in certain generic cases.
The study advances the deformation theory of these superalgebras.
Abstract
We continue the study of the filiform Z2xZ2-color Lie superalgebras. All of them can be obtained by using infinitesimal deformations, i.e. cocycles. In this work we give the total dimension of such cocycles (for any dimensions n, m, p and t of the Z2xZ2-color Lie superalgebras). Also, we give a basis of such cocycles in some generic and concrete cases.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons