Results 41 to 50 of about 85,344 (218)
Geometric action for extended Bondi-Metzner-Sachs group in four dimensions
Journal of High Energy Physics, 2022 The constrained Hamiltonian analysis of geometric actions is worked out before applying the construction to the extended Bondi-Metzner-Sachs group in four dimensions.
Glenn Barnich +2 more
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Poisson convergence on the free Poisson algebra
, 2015 Based on recent findings by Bourguin and Peccati, we give a fourth moment type condition for an element of a free Poisson chaos of arbitrary order to converge to a free (centered) Poisson distribution.
Bourguin, Solesne
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Journal of Algebra, 1997 A Novikov algebra \(A\) is a vector space with an operation \(\circ \) satisfying the identities \[ (x\circ y)\circ z=(x\circ z)\circ y, \] \[ (x\circ y)\circ z - x\circ (y\circ z)=(y\circ x)\circ z - y\circ (x\circ z). \] A Novikov-Poisson algebra is a vector space \(A\) with two operations ``\(\cdot,\;\circ\)'' such that \((A,\cdot)\) forms a ...
openaire +1 more source
Centralizers in free Poisson algebras [PDF]
Proceedings of the American Mathematical Society, 2007 We prove an analog of the Bergman Centralizer Theorem for free Poisson algebras over an arbitrary field of characteristic 0 0 . Some open problems are formulated.
Makar-Limanov, L., Umirbaev, U.
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Structures and Low Dimensional Classifications of Hom-Poisson Superalgebras
Advances in Mathematical Physics, 2015 Hom-Poisson superalgebras can be considered as a deformation of Poisson superalgebras. We prove that Hom-Poisson superalgebras are closed under tensor products. Moreover, we show that Hom-Poisson superalgebras can be described using only the twisting map
Qingcheng Zhang, Chunyue Wang, Zhu Wei
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Metriplectic Algebra for Dissipative Fluids in Lagrangian Formulation
Entropy, 2015 The dynamics of dissipative fluids in Eulerian variables may be derived from an algebra of Leibniz brackets of observables, the metriplectic algebra, that extends the Poisson algebra of the frictionless limit of the system via a symmetric semidefinite ...
Massimo Materassi
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Poisson Realization and Quantization of the Geroch Group
, 1996 The conserved nonlocal charges generating the Geroch group with respect to the canonical Poisson structure of the Ernst equation are found. They are shown to build a quadratic Poisson algebra, which suggests to identify the quantum Geroch algebra with ...
Ashtekar A +12 more
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Journal of High Energy Physics, 2021 We construct a Poisson algebra of brane currents from a QP-manifold, and show their Poisson brackets take a universal geometric form. This generalises a result of Alekseev and Strobl on string currents and generalised geometry to include branes with ...
Alex S. Arvanitakis
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Coadjoint Poisson actions of Poisson-Lie groups
, 1999 A Poisson-Lie group acting by the coadjoint action on the dual of its Lie algebra induces on it a non-trivial class of quadratic Poisson structures extending the linear Poisson bracket on the coadjoint ...
Drinfel’d V.G. +3 more
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Left-right noncommutative Poisson algebras [PDF]
Open Mathematics, 2014 AbstractThe notions of left-right noncommutative Poisson algebra (NPlr-algebra) and left-right algebra with bracket AWBlr are introduced. These algebras are special cases of NLP-algebras and algebras with bracket AWB, respectively, studied earlier. An NPlr-algebra is a noncommutative analogue of the classical Poisson algebra.
Casas José +2 more
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