Generalizations of Schouten-Nijenhuis Bracket
Dmitrij V. Soroka, Vyacheslav A. Soroka
TL;DR
This paper extends the Schouten-Nijenhuis bracket to superspaces and Poisson brackets with opposite Grassmann parities, broadening its applicability in mathematical physics.
Contribution
It introduces a generalization of the Schouten-Nijenhuis bracket for superspaces and Poisson brackets with differing Grassmann parities, expanding theoretical frameworks.
Findings
Generalized bracket for superspaces
Applicable to Poisson brackets with opposite Grassmann parities
Enhances mathematical tools for supersymmetry and Poisson geometry
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 · Algebraic structures and combinatorial models · Advanced Topics in Algebra