Superspace Generalizations of Schouten-Nijenhuis Bracket
Dmitrij V. Soroka, Vyacheslav A. Soroka
TL;DR
This paper extends the Schouten-Nijenhuis bracket to superspaces and considers its application to Poisson brackets with different Grassmann parities, broadening its mathematical framework.
Contribution
It introduces a superspace generalization of the Schouten-Nijenhuis bracket and applies it to Poisson brackets of opposite Grassmann parities, a novel extension.
Findings
Generalized Schouten-Nijenhuis bracket for superspaces
Application to Poisson brackets with opposite Grassmann parities
Enhanced mathematical framework for supersymmetric structures
Abstract
The Schouten-Nijenhuis bracket is generalized for the superspace case and for the Poisson brackets of opposite Grassmann parities.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models