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Algebraic Constructions for Novikov–Poisson Algebras
Mathematics, 2022 A Novikov–Poisson algebra (A,∘,·) is a vector space with a Novikov algebra structure (A,∘) and a commutative associative algebra structure (A,·) satisfying some compatibility conditions. Give a Novikov–Poisson algebra (A,∘,·) and a vector space V.
Naping Bao, Yanyong Hong
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Cyclic $A_{\infty}$-algebras and double Poisson algebras [PDF]
Journal of Noncommutative Geometry, 2019 In this article we prove that there exists an explicit bijection between nice $d$-pre-Calabi-Yau algebras and $d$-double Poisson differential graded algebras, where $d \in \mathbb{Z}$, extending a result proved by N. Iyudu and M. Kontsevich. We also show
Fernández, David +1 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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BRST Charge and Poisson Algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 An elementary introduction to the classical version of gauge theories is made. The shortcomings of the usual gauge fixing process are pointed out. They justify the need to replace it by a global symmetry: the BRST symmetry and its associated BRST charge.
H. Caprasse
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On classification of Poisson vertex algebras [PDF]
Transformation Groups, 2010 We describe a conjectural classification of Poisson vertex algebras of CFT type and of Poisson vertex algebras in one differential variable (= scalar Hamiltonian operators)
A Barakat +10 more
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Algebras of Jordan brackets and Generalized Poisson algebras [PDF]
Linear and Multilinear Algebra, 2015 We construct a basis of free unital generalized Poisson superalgebras and a basis of free unital superalgebras of Jordan brackets. Also, we prove the analogue of Farkas' Theorem for PI unital generalized Poisson algebras and PI unital algebras of Jordan ...
Kaygorodov, Ivan
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Poisson C*-algebra derivations in Poisson C*-algebras
Demonstratio MathematicaIn this study, we introduce the following additive functional equation:g(λu+v+2y)=λg(u)+g(v)+2g(y)g\left(\lambda u+v+2y)=\lambda g\left(u)+g\left(v)+2g(y) for all λ∈C\lambda \in {\mathbb{C}}, all unitary elements u,vu,v in a unital Poisson C*{C ...
Wang Yongqiao, Park Choonkil, Chang Yuan
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Karpatsʹkì Matematičnì Publìkacìï, 2022 We describe the Kantor square (and Kantor product) of multiplications, extending the classification proposed in [J. Algebra Appl. 2017, 16 (9), 1750167].
R. Fehlberg Júnior, I. Kaygorodov
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Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras
Journal of Algebra, 2023 We introduce a dual notion of the Poisson algebra by exchanging the roles of the two binary operations in the Leibniz rule defining the Poisson algebra. We show that the transposed Poisson algebra thus defined not only shares common properties of the Poisson algebra, including the closure under taking tensor products and the Koszul self-duality as an ...
Chengming Bai +3 more
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Restricted Poisson algebras [PDF]
Pacific Journal of Mathematics, 2017 We re-formulate Bezrukavnikov-Kaledin's definition of a restricted Poisson algebra, provide some natural and interesting examples, and discuss connections with other research topics.
Bao, Yan-Hong, Ye, Yu, Zhang, James
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