The deformations of nondegenerate constant Poisson bracket with even and odd deformation parameters

2010/01/12 by S. E. Konstein, Konstein, S. E., I. V. Tyutin +1 · 1 citation
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 #Quantum Algebra (math.QA) #hep-th #math.QA

paper · pdf · doi:10.48550/arxiv.1001.1776

LaTeX, 10 pages

arxiv created 2010/01/12 · openalex publication_date 2010/01/12 · arxiv updated 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider Poisson superalgebras with constant nondegenerate bracket realized on the smooth Grassmann-valued functions with compact supports in R²ⁿ. The deformations with even and odd deformation parameters of these superalgebras are presented for n>1.

Citations

• Quantization of Gauge Systems

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