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5 votes
1 answer
549 views

Supercuspidal with Iwahori fixed vector

Let $F$ be a local field. Is there a reference for the following fact: No supercuspidal representation of $GL_2(F)$ has an Iwahori-fixed vector? I have a proof, by I'd prefer a reference, because ...
Marc Palm's user avatar
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3 votes
1 answer
611 views

How to translate the representation theory of semisimple to reductive groups?

I am aware of the following question: Definitions of Reductive and Semisimple Groups So let me phrase a precise question: Is there a standard technique by which one can translate the unitary/...
Marc Palm's user avatar
  • 11.2k