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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
5
votes
Accepted
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.
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 …
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 …