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Marc Palm
Marc Palm
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Let $G$ be a locally compactreductive group over a local non-archimedean field $F$.

Can every irreducible supercuspidal representation of $G(F)$ be realized as the induction from an open subgroup, which is compact modulo the center?

Let $G$ be a locally compact group over a local non-archimedean field $F$.

Can every irreducible supercuspidal representation of $G(F)$ be realized as the induction from an open subgroup, which is compact modulo the center?

Let $G$ be a reductive group over a local non-archimedean field $F$.

Can every irreducible supercuspidal representation of $G(F)$ be realized as the induction from an open subgroup, which is compact modulo the center?

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Marc Palm
Marc Palm
  • 11.2k
  • 2
  • 35
  • 92

Are all irreducible supercuspidal representation induced from compact-mod-center subgroups?

Let $G$ be a locally compact group over a local non-archimedean field $F$.

Can every irreducible supercuspidal representation of $G(F)$ be realized as the induction from an open subgroup, which is compact modulo the center?