5
votes
Accepted
Explicit formula of base change for GL(n)
The answer to your final question should be yes.
Let me assume that $v$ is inert in $E$, so that $E_v / F_v$ is a honest quadratic extension.
Assuming that $B(\chi_1, \chi_2)$ is irreducible, it ...
- 391
4
votes
Accepted
Is there a definition of supercupidal parameter in the Local Langland correspondence?
Not really. This is because you get two kinds of L-packets which see supercuspidal representations: there are packets consisting purely of supercuspidals (which correspond to what should probably be ...
- 574
3
votes
Realization of the $p$-adic Steinberg representation as a subrepresentation
The following works for arbitrary split reductive groups. Let $\mathrm{ind}$ denote the normalized induction, and let $\mathrm{Ind}$ denote the naive induction.
Concretely, the Steinberg ...
- 3,054
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Recall (from the unpublished notes by Casselman, Introduction to the theory of admissible representations ...
- 121
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