A generalization of level-raising congruences for algebraic modular forms
Annales de l'Institut Fourier, Volume 56 (2006) no. 6, p. 1735-1766

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 F. We do this for automorphic representations of an arbitrary reductive group G over F, which is compact at infinity. In the special case where G is an inner form of GSp (4) 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 F. On travaille avec des représentations automorphes d’un groupe réductif G sur F, compact à l’infini. Dans le cas particulier où G est une forme intérieure de GSp (4) sur , on utilise ces résultats pour construire des congruences entre des formes de Saito-Kurokawa et des formes avec des composantes locales génériques.

DOI : https://doi.org/10.5802/aif.2226
Classification:  11F33,  11F70
Keywords: Level-raising, algebraic modular forms
@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},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {56},
     number = {6},
     year = {2006},
     pages = {1735-1766},
     doi = {10.5802/aif.2226},
     mrnumber = {2282674},
     zbl = {pre05145727},
     language = {en},
     url = {http://www.numdam.org/item/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. http://www.numdam.org/item/AIF_2006__56_6_1735_0/

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