Multi-operator brackets acting thrice

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Abstract

We generalize an identity first found by Bremner for Nambu 3-brackets. For odd N-brackets built from associative operator products, [[A[B1...B N]BN+1...B2N-2]B3N-1...B 3N-3] = [[AB1...BN-1][BN...B 2N-1]B2N...B3N-3] we show that for any fixed A, when totally antisymmetrized over all the Bs.

Original languageEnglish (US)
Article number462001
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number46
DOIs
StatePublished - Dec 28 2009

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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