Abelian Subalgebras and Ideals of Maximal Dimension in Poisson algebras

Amir Fernández Ouaridi, Rosa María Navarro, David A. Towers

This paper studies the abelian subalgebras and ideals of maximal dimension of Poisson algebras $\mathcal{P}$ of dimension $n$. We introduce the invariants $\alpha$ and $\beta$ for Poisson a…