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Results tagged with p-adic-groups
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user 43107
1
vote
Accepted
Strictly contracting elements in the center of a Levi subgroup
Let $G$ be a connected reductive group of an arbitrary field $k$, $P$ a parabolic $k$-subgroup, and $U = \mathscr{R}_u(P)$ the unipotent radical of $P$ (so $U$ is what is unfortunately traditionally d …
- 1,623
1
vote
Weyl group action on continuous characters of the group of $\mathbf{Q}_p$-points of the torus
The answer is false due to torsion $\chi$, such as for PGL$_2$ (center trivial, hence connected!) with $\chi({\rm{diag}}(x,1)) = (-1)^{{\rm{ord}}_p(x)}$. [EDIT: This is wrong, as the OP notes below.] …
- 1,623