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arXiv · 2303.09168

Affine Grassmannians for G_2

Zhihao Zhao
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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.

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Zhihao Zhao. 2023-03-16. Affine Grassmannians for G_2. https://arxiv.org/abs/2303.09168

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