3 problems

Conjecture. The following are equivalent:

Let $V$ be a symplectic vector space and $G\subset Sp(V)$ a finite group. Let $C$ be the parameter space of $G$-invariant functions on the symplectic reflections in $G$, let…

Let $V$ be a symplectic vector space and $G\subset Sp(V)$ a finite group. Let $C$ be the vector space of $G$-invariant functions on the set of symplectic reflections in $G$, let…