In this paper, we extend the results of Ribet and Taylor on level-raising for algebraic modular forms on the multiplicative group of a definite quaternion algebra over a totally real field . We do this for automorphic representations of an arbitrary reductive group over , which is compact at infinity. In the special case where is an inner form of over , we use this to produce congruences between Saito-Kurokawa forms and forms with a generic local component.
Dans cet article, on étend des résultats d’augmentation du niveau de Ribet et Taylor, au cas de formes modulaires algébriques pour une algèbre à division sur un corps totalement réel . On travaille avec des représentations automorphes d’un groupe réductif sur , compact à l’infini. Dans le cas particulier où est une forme intérieure de sur , on utilise ces résultats pour construire des congruences entre des formes de Saito-Kurokawa et des formes avec des composantes locales génériques.
Keywords: Level-raising, algebraic modular forms
Mot clés : augmentation du niveau, formes modulaires algébriques
Mazanti Sorensen, Claus 1
@article{AIF_2006__56_6_1735_0, author = {Mazanti Sorensen, Claus}, title = {A generalization of level-raising congruences for algebraic modular forms}, journal = {Annales de l'Institut Fourier}, pages = {1735--1766}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {56}, number = {6}, year = {2006}, doi = {10.5802/aif.2226}, mrnumber = {2282674}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2226/} }
TY - JOUR AU - Mazanti Sorensen, Claus TI - A generalization of level-raising congruences for algebraic modular forms JO - Annales de l'Institut Fourier PY - 2006 SP - 1735 EP - 1766 VL - 56 IS - 6 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2226/ DO - 10.5802/aif.2226 LA - en ID - AIF_2006__56_6_1735_0 ER -
%0 Journal Article %A Mazanti Sorensen, Claus %T A generalization of level-raising congruences for algebraic modular forms %J Annales de l'Institut Fourier %D 2006 %P 1735-1766 %V 56 %N 6 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.2226/ %R 10.5802/aif.2226 %G en %F AIF_2006__56_6_1735_0
Mazanti Sorensen, Claus. A generalization of level-raising congruences for algebraic modular forms. Annales de l'Institut Fourier, Volume 56 (2006) no. 6, pp. 1735-1766. doi : 10.5802/aif.2226. https://aif.centre-mersenne.org/articles/10.5802/aif.2226/
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