English

A new Weyl group action related to the quasi-classical Gelfand-Graev action

Representation Theory 2021-09-21 v3 Algebraic Geometry Symplectic Geometry

Abstract

We construct a Weyl group action on the DKS type varieties, a certain class of varieties associated with quivers. As a result, on some special DKS type varieties, we can give a quiver theoretic explanation of the quasi-classical Gelfand-Graev action discovered by Ginzburg and Riche and studied by Ginzburg and Kazhdan recently.

Keywords

Cite

@article{arxiv.1912.04539,
  title  = {A new Weyl group action related to the quasi-classical Gelfand-Graev action},
  author = {Xiangsheng Wang},
  journal= {arXiv preprint arXiv:1912.04539},
  year   = {2021}
}

Comments

v3, 40 pages, 4 figures. Final, various minor corrections, the numbering of sections may be different from the published paper