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A reductive group is an algebraic group $G$ over an algebraically closed field such that the unipotent radical of $G$ is trivial

6 votes

Parabolic induction GL(n,Zp)

If $P$ is the Borel and $\pi$ is admissible, then $\pi$ is 1-dimensional and let $\Pi$ denote the induction. Let $K(r)$ be the principal congruence subgroup of elements in $GL_n(\mathbb Z_p)$ that are …
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