BRST charge and Poisson algebras.
Caprasse, H. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Caprasse, H. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Dimitri Gurevich, Pavel Saponov (2011)
Banach Center Publications
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We consider Poisson pencils, each generated by a linear Poisson-Lie bracket and a quadratic Poisson bracket corresponding to a so-called Reflection Equation Algebra. We show that any bracket from such a Poisson pencil (and consequently, the whole pencil) can be restricted to any generic leaf of the Poisson-Lie bracket. We realize a quantization of these Poisson pencils (restricted or not) in the framework of braided affine geometry. Also, we introduce super-analogs of all these Poisson...
Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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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.
Alan Weinstein (2000)
Banach Center Publications
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Mikami, Kentaro (1999)
Lobachevskii Journal of Mathematics
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Oh, Sei-Qwon (2003)
Beiträge zur Algebra und Geometrie
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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...
Alex V. Kontorovich, Steven J. Miller (2005)
Acta Arithmetica
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Elisabeth Remm (2012)
Communications in Mathematics
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Considering a Poisson algebra as a nonassociative algebra satisfying the Markl-Remm identity, we study deformations of Poisson algebras as deformations of this nonassociative algebra. We give a natural interpretation of deformations which preserve the underlying associative structure and of deformations which preserve the underlying Lie algebra and we compare the associated cohomologies with the Poisson cohomology parametrizing the general deformations of Poisson algebras.
Nakanishi, N. (1999)
Lobachevskii Journal of Mathematics
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Tamarkin, Dmitry (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Ali Abkar (2007)
Bollettino dell'Unione Matematica Italiana
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We first consider the biharmonic Poisson kernel for the unit disk, and study the boundary behavior of potentials associated to this kernel function. We shall then use some properties of the biharmonic Poisson kernel for the unit disk to compute the analogous biharmonic Poisson kernel for the upper half plane.
Jan Stankiewicz, Katarzyna Wilczek (2011)
Annales UMCS, Mathematica
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In this paper some estimates for the Poisson extension of a K-quasihomography on the unit circle are given.