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Results tagged with reductive-groups
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user 9672
A reductive group is an algebraic group $G$ over an algebraically closed field such that the unipotent radical of $G$ is trivial
1
vote
Accepted
What is this measure on the affine Weyl group?
It is well-known that $\mu(IwI)/\mu(I)=q^{l(w)}$, where $l(w)$ is the length of $w$ with respect to the affine simple reflections corresponding to $I$. The multiplicative formula holds so long as $l(w …
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2
votes
Decomposing representations of GL(n,F_q) induced from certain kinds of parabolics
If $m=1$ and $n>1$, then the decomposition is multiplicity-free and has $q$ irreducible representations. The way to see this is the following: The representation of $GL_n(\mathbf F_q)$ that you are lo …
- 5,654
4
votes
Accepted
Supercuspidal with Iwahori fixed vector
I quote from one of my papers (On Bernstein's presentation of Iwahori-Hecke algebras and representations of split reductive groups over non-Archimedean local fields, Bulletin of the Kerala Mathematics …
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