Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415744 | Journal of Number Theory | 2010 | 48 Pages |
Abstract
Let H be a definite quaternion algebra over Q with discriminant DH and R a maximal order of H. We denote by Gn a quaternionic unitary group and put În=Gn(Q)â©GL2n(R). Let Sκ(În) be the space of cusp forms of weight κ with respect to În on the quaternion half-space of degree n. We construct a lifting from primitive forms in Sk(SL2(Z)) to Sk+2nâ2(În) and a lifting from primitive forms in Sk(Î0(d)) to Sk+2(Î2), where d is a factor of DH. These liftings are generalizations of the Maass lifting investigated by Krieg.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Shunsuke Yamana,