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Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.

3 votes
0 answers
71 views

Conjugacy classes in reductive group under adjoint action of parabolic subgroup

Given a reductive group $G$ over a finite field and a parabolic subgroup $P$ , I wonder what are the orbits in $G$ under the adjoint action of $P$. This should be standard, but I can only find results …
Simon Lentner's user avatar
3 votes
0 answers
147 views

Parallel transport for variety over finite field

I was wondering: Given a variety over a finite field, say the projective plane or sphere over $\mathbb{F}_q$. Then I can try to define parallel transport along (geodesic) curves. In particular, I can …
Simon Lentner's user avatar