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

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 …
LSpice's user avatar
  • 12.9k
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 …
Ramin's user avatar
  • 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representations of p-adic groups and for this Godement's notes on Jacquet-Langlands theory and then Casselman's unpublished book o …
Ramin's user avatar
  • 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 …
Ramin's user avatar
  • 1,362