Springer correspondence for the split symmetric pair in type $A$
Representation Theory
2020-06-23 v2 Algebraic Geometry
Abstract
In this paper we establish Springer correspondence for the symmetric pair using Fourier transform, parabolic induction functor, and a nearby cycle sheaves construction due to Grinberg. As applications, we obtain results on cohomology of Hessenberg varieties and geometric constructions of irreducible representations of Hecke algebras of symmetric groups at .
Cite
@article{arxiv.1608.06034,
title = {Springer correspondence for the split symmetric pair in type $A$},
author = {Tsao-Hsien Chen and Kari Vilonen and Ting Xue},
journal= {arXiv preprint arXiv:1608.06034},
year = {2020}
}
Comments
Final version