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.
|Number of pages||25|
|Journal||Journal of the Ramanujan Mathematical Society|
|Publication status||Published - 2017 Mar|
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