Affine Springer Fibers and the Affine Matrix Ball Construction for Rectangular Type Nilpotents
Representation Theory
2020-08-21 v2 Combinatorics
Abstract
In this paper, we study the affine Springer fiber in type for rectangular type semisimple nil-element and calculate the relative position between irreducible components. In particular, we use the affine matrix ball construction to show the relative position map is compatible with the Kazhdan-Lusztig cell structure, generalizing the work of Steinberg and van Leeuwen.
Keywords
Cite
@article{arxiv.2007.14501,
title = {Affine Springer Fibers and the Affine Matrix Ball Construction for Rectangular Type Nilpotents},
author = {Pablo Boixeda Alvarez and Li Ying and Guangyi Yue},
journal= {arXiv preprint arXiv:2007.14501},
year = {2020}
}