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$δ$-Poisson and transposed $δ$-Poisson algebras

We present a comprehensive study of two new Poisson-type algebras. Namely, we are working with $δ$-Poisson and transposed $δ$-Poisson algebras. Our research shows that these algebras are related to many interesting identities. In particular, they are related to shift associative algebras, $F$-manifold algebras, algebras of Jordan brackets, etc.
Abdelwahab, Hani   +2 more
openaire   +1 more source

$$\frac{1}{2}$$-derivations of Lie algebras and transposed Poisson algebras

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021
Bruno Ferreira, Ivan Kaygorodov
exaly  

Poisson algebra structure on the invariants of pairs of matrices of degree three

Journal of Algebra and Its Applications, 2023
Rustam Turdibaev
exaly  

Symplectic algebras and poisson algebras

Communications in Algebra, 1993
openaire   +1 more source

An operadic approach to vertex algebra and Poisson vertex algebra cohomology

Japanese Journal of Mathematics, 2019
Bojko Bakalov   +2 more
exaly  

Cohomology structure for a Poisson algebra: I

Journal of Algebra and Its Applications, 2016
Yu Ye
exaly  

Realization of Poisson enveloping algebra

Frontiers of Mathematics in China, 2018
Can Zhu
exaly  

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