2
votes
1answer
561 views
Discrete Series representations for $SL_{2}$ over $p$-adic field.
I am working on the chamber homology for $SL(2,F)$, and stuck at some basic stuff on D.S. reps of $SL(2,F)$.
Let $ I=\left(
\begin{array}{cc}
\mathcal{O}_{F} & …
4
votes
4answers
549 views
cuspidal types and Iwahori subgroup for $SL(2,F)$
Let $(J,\pi)$ be a cuspidal type in $SL(2,F)$, $F$ is a non-Arch. local field and let $I$ be the Iwahori subgroup of $SL(2,F)$.
Is there any possibility that $J\subset I$ or even …
