Results 31 to 40 of about 85,344 (218)
On the nilpotent Leibniz–Poisson algebras
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 In this article Leibniz and Leibniz–Poisson algebras in terms of correctness of different identities are investigated. We also examine varieties of these algebras. Let K be a base field of characteristics zero.
S. M. Ratseev, O. I. Cherevatenko
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Scalar Field Cosmology from a Modified Poisson Algebra
Mathematics, 2022 We investigate the phase space of a scalar field theory obtained by minisuperspace deformation. We consider quintessence or phantom scalar fields in the action that arises from minisuperspace deformation on the Einstein–Hilbert action.
Genly Leon +2 more
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The κ-(A)dS quantum algebra in (3+1) dimensions
Physics Letters B, 2017 The quantum duality principle is used to obtain explicitly the Poisson analogue of the κ-(A)dS quantum algebra in (3+1) dimensions as the corresponding Poisson–Lie structure on the dual solvable Lie group.
Ángel Ballesteros +3 more
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Co-Poisson structures on polynomial Hopf algebras
, 2017 The Hopf dual $H^\circ$ of any Poisson Hopf algebra $H$ is proved to be a co-Poisson Hopf algebra provided $H$ is noetherian. Without noetherian assumption, it is not true in general.
Lou, Qi, Wu, QuanShui
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On split regular BiHom-Poisson color algebras
Open Mathematics, 2021 The purpose of this paper is to introduce the class of split regular BiHom-Poisson color algebras, which can be considered as the natural extension of split regular BiHom-Poisson algebras and of split regular Poisson color algebras. Using the property of
Tao Yaling, Cao Yan
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Poisson algebras associated to quasi-Hopf algebras
Advances in Mathematics, 2004 We define admissible quasi-Hopf quantized universal enveloping (QHQUE) algebras by h-adic valuation conditions. We show that any QHQUE algebra is twist-equivalent to an admissible one. We prove a related statement: any associator is twist-equivalent to a Lie associator.
Enriquez, Benjamin, Halbout, Gilles
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Poisson-Lie U-duality in exceptional field theory
Journal of High Energy Physics, 2020 Poisson-Lie duality provides an algebraic extension of conventional Abelian and non-Abelian target space dualities of string theory and has seen recent applications in constructing quantum group deformations of holography.
Emanuel Malek, Daniel C. Thompson
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Universal enveloping algebras of Poisson Ore extensions
, 2014 We prove that the universal enveloping algebra of a Poisson-Ore extension is a length two iterated Ore extension of the original universal enveloping algebra.
Lü, Jiafeng +2 more
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Transactions of the American Mathematical Society, 2008 Many misprints and inaccuracies (found by the referee) were ...
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