A theory of local old- and newforms for representations of $GSp(4)$ over a $p$ -adic field with Iwahori-invariant vectors is developed. The results are applied to Siegel modular forms of degree 2 with square-free level with respect to various congruence subgroups.
Publié le : 2005-01-14
Classification:
GSp(4),
unramified representations,
Siegel modular forms,
local newforms,
11F46,
11F70,
11F85
@article{1160745825,
author = {SCHMIDT, Ralf},
title = {Iwahori-spherical representations of GSp(4) and Siegel modular forms of degree 2 with square-free level},
journal = {J. Math. Soc. Japan},
volume = {57},
number = {4},
year = {2005},
pages = { 259-293},
language = {en},
url = {http://dml.mathdoc.fr/item/1160745825}
}
SCHMIDT, Ralf. Iwahori-spherical representations of GSp(4) and Siegel modular forms of degree 2 with square-free level. J. Math. Soc. Japan, Tome 57 (2005) no. 4, pp. 259-293. http://gdmltest.u-ga.fr/item/1160745825/