Proceedings of the International Conference on Geometry, Integrability and Quantization

Nambu Dynamics, $n$-Lie Algebras and Integrability

Gaetano Vilasi

Abstract

We present a generalized formulation of Poisson dynamics suitable to describe the n-bodies interactions. Examples are given of physical systems endowed with such a general structure.

Article information

Source
Proceedings of the Tenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Gaetano Vilasi and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2009), 265-278

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436793450

Digital Object Identifier
doi:10.7546/giq-10-2009-265-278

Mathematical Reviews number (MathSciNet)
MR2757840

Zentralblatt MATH identifier
1261.37030

Citation

Vilasi, Gaetano. Nambu Dynamics, $n$-Lie Algebras and Integrability. Proceedings of the Tenth International Conference on Geometry, Integrability and Quantization, 265--278, Avangard Prima, Sofia, Bulgaria, 2009. doi:10.7546/giq-10-2009-265-278. https://projecteuclid.org/euclid.pgiq/1436793450


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