Maass space for lifting to GL(2) over a division quaternion algebra
Number Theory
2019-07-17 v2
Abstract
Muto, Narita and Pitale construct counterexamples to the Generalized Ramanujan Conjecture for GL(2,B) over the division quaternion algebra B with discriminant two via a lift from SL(2). In this paper, we try to exactly characterize the image of this lift. The previous methods of Maass, Kohnen or Kojima do not apply here, hence we approach this problem via a combination of classical and representation theory techniques to identify the image. Crucially, we use the Jacquet Langlands correspondence described by Badulescu and Renard to characterize the representations.
Keywords
Cite
@article{arxiv.1810.11004,
title = {Maass space for lifting to GL(2) over a division quaternion algebra},
author = {Siddhesh Wagh},
journal= {arXiv preprint arXiv:1810.11004},
year = {2019}
}