Continuing our investigation in , where we associated an Artin representation to a vector-valued real analytic Siegel cusp form of weight (2, 1) under reasonable assumptions, we associate an Artin representation of GLn to a cuspidal representation of GLn(double-struck Aℚ) with similar assumptions. A main innovation in this paper is to obtain a uniform structure of subgroups in GLn(double-struck Fq), which enables us to avoid complicated case by case analysis in . We also supplement  by showing that we can associate non-holomorphic Siegel modular forms of weight (2, 1) to Maass forms for GL2(double-struck Aℚ) and to cuspidal representations of GL2(double-struck AK) where K is an imaginary quadratic field.
|ジャーナル||Journal of the Ramanujan Mathematical Society|
|出版ステータス||Published - 2017 3|
ASJC Scopus subject areas
- 数学 (全般)