Toric-friendly groups
Algebraic Geometry
2021-01-05 v4 Group Theory
Abstract
Let G be a connected linear algebraic group over a field k. We say that G is toric-friendly if for any field extension K/k and any maximal K-torus T in G the group G(K) has only one orbit in (G/T)(K). Our main result is a classification of semisimple (and under certain assumptions on k, of connected) toric-friendly groups.
Cite
@article{arxiv.1003.5894,
title = {Toric-friendly groups},
author = {Mikhail Borovoi and Zinovy Reichstein},
journal= {arXiv preprint arXiv:1003.5894},
year = {2021}
}
Comments
16 pages. Shortened