ProV Logo
0

The local Jacquet--Langlands corresponde...
Mínguez, Alberto...
The local Jacquet--Langlands correspondence and congruences modulo {\ell} by Mínguez, Alberto ( Author )
N.A
15-07-2015
Let F be a non-Archimedean local field of residual characteristic p, and {\ell} be a prime number different from p. We consider the local Jacquet-Langlands correspondence between {\ell}-adic discrete series of GL(n,F) and an inner form GL(m,D). We show that it respects the relationship of congruence modulo {\ell}. More precisely, we show that two integral {\ell}-adic discrete series of GL(m,D) are congruent modulo {\ell} if and only if the same holds for their Jacquet-Langlands transfers to GL(m,D).
-
Article
pdf
36.88 KB
English
-
MYR 0.00
-
https://arxiv.org/abs/1507.04119
Share this eBook