Poisson Algebras Talk

Abstract:

The concept of Poisson algebras is one of the most important concepts in mathematics that make a link between commutative and non-commutative algebra. Poisson algebras can be defined as Lie algebras that satisfy the Leibniz rule. Our research is about classifying a large Poisson algebra class $A=K[t][x,y]$, that is the Poisson polynomial algebra in two variables $x$ and $y$ with coefficients on the Poisson polynomial algebra $K[t]$, where $K$ is an algebraic closure field with zero characteristic. There are three main cases of the Poisson algebra class $A$ and each case has several subcases. We are interested in the Poisson spectrum of $A$, minimal and maximal Poisson ideals of $A$.

Event:

The London Mathematical Society Virtual Graduate Student Meeting 2021

Location:

LMS, London, UK, 8 November 2021.