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Generalizations for Schouten-Nijenhuis Bracket and for Differential Analog of Special Yang-Baxter Equations

2003/07/19 by D. Soroka, Dmitrij V. Soroka, Soroka, Dmitrij V. +3
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Symplectic Geometry (math.SG) #hep-th #math-ph #math.MP #math.SG

paper · pdf · doi:10.48550/arxiv.hep-th/0307185

13 pages, LATEX 2e, JHEP format

arxiv created 2003/07/19 · openalex publication_date 2003/07/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Schouten-Nijenhuis bracket is generalized for the superspace case and for the Poisson brackets of opposite Grassmann parities. Quite a number of generalizations for the differential analog of the special Yang-Baxter equations is also proposed.

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