Abstract:
The concept of Poisson algebra is one of the most important concepts in mathematics that make a link between commutative and noncommutative algebra. The Poisson algebra $D$ can be defined as an algebra over a field $K$ with Poisson bracket {$\cdot, \cdot$} such that ($D,$ {$\cdot, \cdot$}) is satisfying anticommutative, Jacobi identity and Leibniz rule. In this talk, I give the definition of Poisson algebra, talk about some related concepts of polynomial Poisson algebras and give some examples.
Event:
The $10^{th}$ International Eurasian Conference on Mathematical Sciences and applications
Location:
Sakarya, Turkey, 25 - 27 August 2021.
Dr. Maram Alossaimi
Pure Mathematics, Non-commutative Algebras, Poisson Algebras
I am intersted in Poisson algebra, non-commutative algebra and Poisson prime ideals.