Deformations of the central extension of the Poisson superalgebra
S.E.Konstein, I.V.Tyutin
TL;DR
This paper investigates how the central extensions of Poisson superalgebras, realized on Grassmann-valued functions, can be deformed, revealing new structural insights.
Contribution
It identifies and characterizes the deformations of the central extensions of Poisson superalgebras on Grassmann-valued functions.
Findings
Deformations of the central extensions are explicitly constructed.
New algebraic structures arising from these deformations are described.
Results contribute to understanding the stability of Poisson superalgebras.
Abstract
Poisson superalgebras realized on the smooth Grassmann valued functions with compact support in R^n have the central extensions. The deformations of these central extensions are found.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras