The Poisson spectrum of the symmetric algebra of the Virasoro algebra
The Poisson spectrum of the symmetric algebra of the Virasoro algebra
Let $W = \mathbb {C}[t,t^{-1}]\partial _t$ be the Witt algebra of algebraic vector fields on $\mathbb {C}^\times$ and let $V\!ir$ be the Virasoro algebra , the unique nontrivial central extension of $W$ . In this paper, we study the Poisson ideal structure of the symmetric algebras of $V\!ir$ and $W$ …