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LSpice
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On a theorem of Bernstein-Zelevinsky regarding supresentation theoremsupercuspidal resentations

Let $G$ be a $p$-adic reductive group and $\pi$ an irreducible non-supercuspidal representation. Then there exist a parbaolic subgroup $P=MN$ and a supercuspidal representation of $M$ such that $\pi$ appears as a subrepresentation of $\operatorname{Ind}_P^G\sigma$, namely $\sigma$ is the supercuspidal support of $\pi$.

Now, is it known that $\pi$ appears with mupltiplicity one in $\operatorname{Ind}_P^G\sigma$?

On a theorem of Bernstein-Zelevinsky regarding supresentation theorem

Let $G$ be a $p$-adic reductive group and $\pi$ an irreducible non-supercuspidal representation. Then there exist a parbaolic subgroup $P=MN$ and a supercuspidal representation of $M$ such that $\pi$ appears as a subrepresentation of $\operatorname{Ind}_P^G\sigma$, namely $\sigma$ is the supercuspidal support of $\pi$.

Now, is it known that $\pi$ appears with mupltiplicity one in $\operatorname{Ind}_P^G\sigma$

On a theorem of Bernstein-Zelevinsky regarding supercuspidal resentations

Let $G$ be a $p$-adic reductive group and $\pi$ an irreducible non-supercuspidal representation. Then there exist a parbaolic subgroup $P=MN$ and a supercuspidal representation of $M$ such that $\pi$ appears as a subrepresentation of $\operatorname{Ind}_P^G\sigma$, namely $\sigma$ is the supercuspidal support of $\pi$.

Now, is it known that $\pi$ appears with mupltiplicity one in $\operatorname{Ind}_P^G\sigma$?

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Windi
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On a theorem of Bernstein-Zelevinsky regarding supresentation theorem

Let $G$ be a $p$-adic reductive group and $\pi$ an irreducible non-supercuspidal representation. Then there exist a parbaolic subgroup $P=MN$ and a supercuspidal representation of $M$ such that $\pi$ appears as a subrepresentation of $\operatorname{Ind}_P^G\sigma$, namely $\sigma$ is the supercuspidal support of $\pi$.

Now, is it known that $\pi$ appears with mupltiplicity one in $\operatorname{Ind}_P^G\sigma$