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The Weyl group of a root system is a subgroup generated by reflections through the hyperplanes orthogonal to the roots.
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Relative position of flags for the general linear group
This question is related my question in An example of a Deligne–Lusztig variety for a general linear group, and the obtained answer.
Situation
I am working with the general linear group. Specifically, …
1
vote
0
answers
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Minimal subrepresentation of the Weyl group
Background
I want to generalize Theorem 3.2.1 in
Dat, J., Orlik, S., & Rapoport, M. (2010). Period Domains over Finite and p-adic Fields (Cambridge Tracts in Mathematics). Cambridge: Cambridge Univers …
4
votes
1
answer
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Cohomology of Deligne-Lusztig variety associated to Coxeter element
Determining the individual ($l$-adic) cohomology groups of Deligne-Lusztig varieties has only been done for the general linear group and for some other very specific cases (as far as I know).
However, …