Affine Grassmannians for G_2
Representation Theory
2023-10-03 v2
Abstract
We study affine Grassmannians for the exceptional group of type G_2. This group can be given as automorphisms of octonion algebras (or para-octonion algebras). By using this automorphism group, we consider all maximal parahoric subgroups in G_2, and give a description of affine Grassmannians for G_2 as functors classifying suitable orders in a fixed space.
Cite
@article{arxiv.2303.09168,
title = {Affine Grassmannians for G_2},
author = {Zhihao Zhao},
journal= {arXiv preprint arXiv:2303.09168},
year = {2023}
}
Comments
23 pages