Toric-friendly groups

Details Toric-friendly groups Toric-friendly groups

2010-03-30

arxiv.org/abs/1003.5894v4

Mathematics

Algebraic Geometry

16 pages. Shortened

Scientific paper

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.

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