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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

5 votes
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How does Jacquet's "Generic Representations" classify tempered representations?

Do you assume that $\pi$ is irreducible ? You can find a proof in the book of David Renard, available on his webpage, p.343, VII.2.6.
kolmo's user avatar
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3 votes

Relation between representations of p-adic groups and affine Hecke algebras

For the inner forms of $\mathrm{SL}_n$ it was done by Aubert, Baum, Plymen and Solleveld in "Hecke algebras for inner forms of p-adic special linear groups". Moreover, the equivalence between the cate …
kolmo's user avatar
  • 128
3 votes

Bernstein–Zelevinsky classification for classical groups

You have such a classification for discrete series representations of classical groups by Moeglin and Moeglin-Tadic (and probably for tempered representations by Chris Jantzen) but it is not only usin …
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  • 128