A survey on Nambu-Poisson brackets.
Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Alan Weinstein (2000)
Banach Center Publications
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Mikami, Kentaro (1999)
Lobachevskii Journal of Mathematics
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Nakanishi, N. (1999)
Lobachevskii Journal of Mathematics
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Alex V. Kontorovich, Steven J. Miller (2005)
Acta Arithmetica
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Tamarkin, Dmitry (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Jiantao Li (2018)
Czechoslovak Mathematical Journal
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Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson brackets are used to solve many problems in affine algebraic geometry. In this note, we study Poisson derivations on the symplectic Poisson algebra, and give a connection between the Jacobian conjecture with derivations on the symplectic Poisson algebra.
Izu Vaisman (1996)
Compositio Mathematica
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Caprasse, H. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Jinn-Liang Liu, Dexuan Xie, Bob Eisenberg (2017)
Molecular Based Mathematical Biology
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We present a nonlocal electrostatic formulation of nonuniform ions and water molecules with interstitial voids that uses a Fermi-like distribution to account for steric and correlation efects in electrolyte solutions. The formulation is based on the volume exclusion of hard spheres leading to a steric potential and Maxwell’s displacement field with Yukawa-type interactions resulting in a nonlocal electric potential. The classical Poisson-Boltzmann model fails to describe steric and correlation...
Veronique Chloup (2000)
Banach Center Publications
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The aim of this paper is to give an overview concerning the problem of linearization of Poisson structures, more precisely we give results concerning Poisson-Lie groups and we apply those cohomological techniques to star products.
Ping Xu (2003)
Annales scientifiques de l'École Normale Supérieure
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Nunes da Costa, J.M. (1997)
Portugaliae Mathematica
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