Namikawa--Weyl groups of symplectic quotient singularities

Abstract

We classify the Namikawa--Weyl groups associated to symplectic quotient singularities $V/G$ when $G$ is a symplectic reflection group. Our classification shows that every irreducible Weyl group can be realized as a factor of the Namikawa--Weyl group of $V/G$ for a suitable $G$.

10 pages;