1997/01/04 by Péter Varga, Peter Varga, Varga, Peter
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Quantum Physics (quant-ph) #math.QA #q-alg #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9701006
revised version, 10 pages AMS-LaTeX
openalex publication_date 1997/01/04 · arxiv created 1997/07/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Poisson, contact and Nambu brackets define algebraic structures on C∞(M) satisfying the Jacobi identity or its generalization. The automorphism groups of these brackets are the symplectic, contact and volume preserving diffeomorphism groups. We introduce a modification of the Nambu bracket, which defines an evolution equation generating the whole diffeomorphism group. The relation between the modified and usual Nambu brackets is similar to the relation between the Poisson and contact structures. We briefly discuss the problem of quantization of the modified bracket.