Introduction in Generalized Weyl Poisson Algebras Talk

Abstract:

The Generalized Weyl Poisson algebra $A=$[$X,Y;a,\partial$} can be defined as a $K$-algebra generated by a basic Poisson algebra $D$ over a field $K$, $2n$ indeterminates $X_1,X_2,\dots ,X_n,$ $Y_1,Y_2,\dots ,Y_n,$ $\partial =({\partial }_1,{\partial }_2,\dots ,{\partial }_n)$ which is an $n$-tuple commuting Poisson derivations on $D$ and $a=(a_1,a_2,\dots ,a_n)$ which is an $n$-tuple elements in the Poisson centre of $D$ with subject to specific relations. In this talk, I give the definition of the generalized Weyl Poisson algebra, I talk about the existence, and I give some definitions and examples related to generalized Weyl Poisson algebras.

Event:

The $8^{th}$ International Congress on Fundamental and Applied Sciences

Location:

Antalya Bilim Univeristy, Antalya, Turkey, 19 - 21 October 2021.