Results 11 to 20 of about 29,270 (226)
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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Hom–Jordan–Malcev–Poisson algebras
Ukrains’kyi Matematychnyi Zhurnal, 2022 UDC 512.5 We provide and study a Hom-type generalization of Jordan–Malcev–Poisson algebras called Hom–Jordan–Malcev–Poisson algebras. We show that they are closed under twisting by suitable self-maps and give a characterization of admissible Hom–Jordan–Malcev–Poisson algebras.
Chtioui, T., Mabrouk, S., Makhlouf, A.
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Category of quantizations and inverse problem
Nuclear Physics B, 2023 We introduce a category composed of all quantizations of all Poisson algebras. By the category, we can treat in a unified way the various quantizations for all Poisson algebras and develop a new classical limit formulation.
Akifumi Sako
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Double Multiplicative Poisson Vertex Algebras [PDF]
International Mathematics Research Notices, 2022 Abstract We develop the theory of double multiplicative Poisson vertex algebras. These structures, defined at the level of associative algebras, are shown to be such that they induce a classical structure of multiplicative Poisson vertex algebra on the corresponding representation spaces.
Fairon, Maxime, Valeri, Daniele
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, 2023 Poisson algebras have become an essential topic in mathematics with a rich structure and wide applicability. Despite numerous resources available on Poisson structures, the algebraic side of the story remains relatively less explored. This paper presents an extended version of a mini-course given during the virtual Winter School and Workshop "Wisla 20 ...
Rubtsov, Vladimir, Suchánek, Radek
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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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Journal of Geometry and Physics, 2019 We introduce K hler-Poisson algebras as analogues of algebras of smooth functions on K hler manifolds, and prove that they share several properties with their classical counterparts on an algebraic level. For instance, the module of inner derivations of a K hler-Poisson algebra is a finitely generated projective module, and allows for a unique ...
Joakim Arnlind, Ahmed Al-Shujary
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Varieties of linear algebras of polynomial growth
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The paper is survey of results of investigations on varieties of linear algebras of polynomial growth. We give equivalent conditions of the polynomial codimension growth of a variety of associative algebras, Lie algebras, Leibniz algebras, Poisson ...
Olga I Cherevatenko
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LINEARIZATION OF POISSON–LIE STRUCTURES ON THE 2D EUCLIDEAN AND (1 + 1) POINCARÉ GROUPS
Ural Mathematical Journal, 2021 The paper deals with linearization problem of Poisson-Lie structures on the \((1+1)\) Poincaré and \(2D\) Euclidean groups. We construct the explicit form of linearizing coordinates of all these Poisson-Lie structures. For this, we calculate all Poisson-
Bousselham Ganbouri +1 more
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On analogs of some classical group-theoretic results in Poisson algebras
Доповiдi Нацiональної академiї наук України, 2021 We investigate the Poisson algebras, in which the n-th hypercenter (center) has a finite codimension. It was established that, in this case, the Poisson algebra P includes a finite-dimensional ideal K such that P/K is nilpotent (Abelian).
L.A. Kurdachenko +2 more
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