Nilpotent varieties in symmetric spaces and twisted affine Schubert varieties
Representation Theory
2022-07-01 v3 Algebraic Geometry
Abstract
We relate the geometry of Schubert varieties in twisted affine Grassmannian and the nilpotent varieties in symmetric spaces. This extends some results of Achar-Henderson in the twisted setting. We also get some applications to the geometry of the order 2 nilpotent varieties in certain classical symmetric spaces.
Keywords
Cite
@article{arxiv.2101.11677,
title = {Nilpotent varieties in symmetric spaces and twisted affine Schubert varieties},
author = {Jiuzu Hong and Korkeat Korkeathikhun},
journal= {arXiv preprint arXiv:2101.11677},
year = {2022}
}
Comments
In this arXiv version, we correct a calculation mistake in the end of the proof of Lemma 2.2 and delete a wrong comment in the paragraph above Theorem 5.4 (published version)