Results 11 to 20 of about 85,344 (218)
VERTEX ALGEBRAS AND VERTEX POISSON ALGEBRAS [PDF]
Communications in Contemporary Mathematics, 2004 This paper studies certain relations among vertex algebras, vertex Lie algebras and vertex Poisson algebras. In this paper, the notions of vertex Lie algebra (conformal algebra) and vertex Poisson algebra are revisited and certain general construction theorems of vertex Poisson algebras are given.
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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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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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Exploring exceptional Drinfeld geometries
Journal of High Energy Physics, 2020 We explore geometries that give rise to a novel algebraic structure, the Exceptional Drinfeld Algebra, which has recently been proposed as an approach to study generalised U-dualities, similar to the non-Abelian and Poisson-Lie generalisations of T ...
Chris D. A. Blair +2 more
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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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Poisson (co)homology of truncated polynomial algebras in two variables [PDF]
, 2008 We study the Poisson (co)homology of the algebra of truncated polynomials in two variables viewed as the semi-classical limit of a quantum complete intersection studied by Bergh and Erdmann.
Alev +15 more
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The automorphism group of Poisson algebras on k[x; y]
Қарағанды университетінің хабаршысы. Математика сериясы, 2017 Poisson algebras play a key role in the Hamiltonian mechanics, symplectic geometry and also are central in the study of quantum groups. At present, Poisson algebras are investigated by the many mathematicians of Russia, France, the USA, Brazil ...
U. Turusbekova, G. Azieva
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Non-Commutative Ternary Nambu-Poisson Algebras and Ternary Hom-Nambu-Poisson Algebras [PDF]
Journal of Generalized Lie Theory and Applications, 2015 The main purpose of this paper is to study non-commutative ternary Nambu-Poisson algebras and their Hom-type version. We provide construction results dealing with tensor product and direct sums of two (non-commutative) ternary (Hom-)Nambu-Poisson algebras. Moreover, we explore twisting principle of (non-commutative) ternary Nambu-Poisson algebras along
Amri, Hanene, Makhlouf, Abdenacer
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Quadratic Poisson algebras on k[x, y, z]and their automorphisms
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 One of the important directions in modern mathematics is applications of Poisson structures and to various problems of mathematics and theoretical mechanics. These problems arise in dynamics of a rigid body, the celestial mechanics, the theory of curls,
U.K. Turusbekova, G.T. Azieva
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