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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
5
votes
1
answer
271
views
Asymptotic behavior of matrix coefficients
I'm reading Casselman's notes "Introduction to the theory of admissible representations of p-adic reductive groups". In chapter 4 "The asymptotic behavior of matrix coefficients", the main result of t …
5
votes
0
answers
164
views
Arithmetic of Cuspidal Reps. Fundamental non split stratum and simple stratum
I started to read Colin Bushnell's notes on this title. The last theorem in the 3rd section claims that if $\pi$ is an irr. smooth rep. of $GL_N(F)$ containing a non-split fundamental stratum, then $\ …
2
votes
Accepted
Asymptotic behavior of matrix coefficients
For the $p$-adic case, the idea is as follows (thanks to Elad for pointing out the direction).
Recall (from the unpublished notes by Casselman, Introduction to the theory of admissible representations …