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Classification of linearly compact simple Nambu-Poisson algebras

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Publication:2814197
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DOI10.1063/1.4948409zbMath1386.17025arXiv1511.04957OpenAlexW2217657962MaRDI QIDQ2814197

Nicoletta Cantarini, Victor G. Kac

Publication date: 20 June 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04957


Mathematics Subject Classification ID

Poisson algebras (17B63)


Related Items

The infinite dimensional unital Nambu–Poisson algebra of order 3, Transposed Poisson structures, Degenerations of Filippov algebras, \(\frac12\)-derivations of Lie algebras and transposed Poisson algebras



Cites Work

  • Unnamed Item
  • The variational Poisson cohomology
  • Classification of simple linearly compact \(n\)-Lie superalgebras
  • Infinite-dimensional primitive linearly compact Lie superalgebras
  • \(n\)-Lie algebras
  • Classification of infinite-dimensional simple linearly compact Lie superalgebras
  • Structure of some \(\mathbb Z\)-graded Lie superalgebras of vector fields
  • On foundation of the generalized Nambu mechanics
  • Classification of linearly compact simple Jordan and generalized Poisson superalgebras
  • Generalized Hamiltonian Dynamics
  • Classification of Linearly Compact Simple Rigid Superalgebras
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