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Search options not deleted user 97316

This tag is used if a reference is needed in a paper or textbook on a specific result.

3 votes
0 answers
751 views

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 …
Alexander's user avatar
  • 953
6 votes
1 answer
504 views

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 …
Alexander's user avatar
  • 953
2 votes
0 answers
94 views

$p$-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 …
Alexander's user avatar
  • 953
9 votes
2 answers
883 views

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 …
Alexander's user avatar
  • 953