Namikawa--Weyl groups of symplectic quotient singularities

Gwyn Bellamy; Gerhard Röhrle; Johannes Schmitt

Namikawa--Weyl groups of symplectic quotient singularities

Symplectic Geometry 2026-07-27 v1 Group Theory

Authors: Gwyn Bellamy , Gerhard Röhrle , Johannes Schmitt

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 $G$ .

Keywords

Namikawa-Weyl group symplectic quotient singularity symplectic reflection group Weyl group classification

Cite

@article{arxiv.2607.24158,
  title  = {Namikawa--Weyl groups of symplectic quotient singularities},
  author = {Gwyn Bellamy and Gerhard Röhrle and Johannes Schmitt},
  journal= {arXiv preprint arXiv:2607.24158},
  year   = {2026}
}

Comments

10 pages;