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This tag is used if a reference is needed in a paper or textbook on a specific result.
3
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0
answers
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Elliptic Maximal Tori and Elliptic Elements
I would be grateful if someone could provide a reference/proof of the following fact (or give a counterexample if I've misunderstood and it's false!)
Let $G$ be a reductive group over a field $F$ (in …
6
votes
1
answer
504
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Reference Request: Compact subgroups of p-adic Reductive Groups
First, I'd like to understand what the compact open subgroups of $H(\mathbb{Q}_p)$ are, where $H$ is an inner form of $GL_n$ over $\mathbb{Q}_p$.
Second, I'd like to know where I can read about this …
2
votes
0
answers
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$p$-adic Harish-Chandra character of a stable virtual character
Let $F$ be a $p$-adic field and let $G$ be a reductive group over $F$. Associated to an irreducible admissible representation of $\pi$ of $G(F)$, we have a distribution character $\Theta_{\pi}$ define …
9
votes
2
answers
883
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Anisotropic algebraic groups have no unipotent elements
I have found the following fact stated in a number of places:
If $k$ is any field, a connected reductive group $G$ is anisotropic if and only if its only unipotent element is $e$ and $\mathrm{Hom}_k …