Adelic Maass spaces on U(2,2)
| dc.creator | Klosin, Krzysztof | |
| dc.date | 2007-06-19 | |
| dc.date.accessioned | 2026-07-07T08:11:07Z | |
| dc.date.available | 2026-07-07T08:11:07Z | |
| dc.description | Generalizing the results of Kojima, Gritsenko and Krieg, we define an adelic version of the Maass space for hermitian modular forms of weight k regarded as functions on adelic points of the quasi-split unitary group U(2,2) associated with an imaginary quadratic extension F/Q of discriminant D_F. When the class number h_F of F is odd, we show that the Maass space is invariant under the action of the local Hecke algebras of U(2,2)(Q_p) for all p not dividing D_F. As a consequence we obtain a Hecke-equivariant injective map from the Maass space to the h_F-fold direct product of the space of elliptic modular forms of weight k-1 and level D_F. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/0706.2828 | |
| dc.identifier | http://arxiv.org/abs/0706.2828 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132021 | |
| dc.subject | Number Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 11F30, 11F55 | |
| dc.title | Adelic Maass spaces on U(2,2) | |
| dc.type | text |