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Results tagged with langlands-conjectures
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user 11877
Higher reciprocity laws
4
votes
0
answers
390
views
Why Whittaker functions are useful?
Whittaker functions appears in Langlands program. Recently, it is shown that some Whittaker functions can be obtained by integrating a function related to decoration over a geometric crystal in http:/ …
- 6,201
1
vote
Two questions about Whittaker functions
In the case of $SL_2$, we have
$$
U = \left\{ \left(\begin{matrix} 1 & x \\ 0 & 1 \end{matrix}\right) : x \in F \right\}
$$
and
\begin{align}
& \int_U f^0\left( w_0 u t_{\lambda} \right) \psi^{-1}(u) …
- 6,201
2
votes
1
answer
399
views
Two questions about Whittaker functions
I am watching the video: Modeling p-adic Whittaker functions, Part I. I have two questions about Whittaker functions in the video.
From 33:00 to 37:00, it is said that after changing of variables, w …
- 6,201
8
votes
1
answer
612
views
Bernstein–Zelevinsky classification for classical groups
Bernstein and Zelevinsky classifies the irreducible complex smooth representations of a general linear group over a local field in terms of cuspidal representations. The irreducible modules are parame …
- 6,201
2
votes
1
answer
422
views
A computation about Whittaker functions and Eisenstein series
I have some questions about the computation of Eisenstein series and Whittaker functions in the book. The question is on page 29, Theorem 4.3.
My questions are in the following.
(1) I think that …
- 6,201