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Results tagged with rt.representation-theory
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user 10458
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
9
votes
Definition of L-function attached to automorphic representation
This question was posted a while back but I just saw it. Here are some thoughts. In practice there are a couple of methods to construct L functions for local ramified representations. The first one is …
- 1,362
9
votes
Accepted
Prerequisites for P-adic Representations
Hello, I think a good first step is to learn the theory of admissible representations of p-adic groups and for this Godement's notes on Jacquet-Langlands theory and then Casselman's unpublished book o …
- 1,362
8
votes
Accepted
Double coset spaces of reductive groups and integral representations of L-functions
This is a very nice question!
All of your examples are spherical quotients. Please take a look at
Sakellaridis - Spherical varieties and integral representations of $L$-functions and Yiannis' other pa …
- 1,362
1
vote
Local to Global principle for reductive groups
There is also a theorem of I think Hakim (my apologies if this is not Jeff's theorem), generalized by Prasad and Schulze-Pillot, that allows you to globalize representations distinguished with respect …
- 1,362