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

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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 Recall (from the unpublished notes by Casselman, Introduction to the theory of admissible representations …
Zahi Hazan's user avatar
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 …
Zahi Hazan's user avatar
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 $\ …
Zahi Hazan's user avatar