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An automorphic form is a well-behaved function from a topological group $G$ to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup $\Gamma \subset G$ of the topological group. Automorphic forms are a generalization of the idea of periodic functions in Euclidean space to general topological groups.

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 …
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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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