A uniform structure on subgroups of GLn(double-struck Fq) and its application to a conditional construction of Artin representations of GLn

Henry H. Kim, Takuya Yamauchi

研究成果: Article査読

抄録

Continuing our investigation in [19], 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 A) 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 [19]. We also supplement [19] by showing that we can associate non-holomorphic Siegel modular forms of weight (2, 1) to Maass forms for GL2(double-struck A) and to cuspidal representations of GL2(double-struck AK) where K is an imaginary quadratic field.

本文言語English
ページ(範囲)75-99
ページ数25
ジャーナルJournal of the Ramanujan Mathematical Society
32
1
出版ステータスPublished - 2017 3

ASJC Scopus subject areas

  • 数学 (全般)

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「A uniform structure on subgroups of GL<sub>n</sub>(double-struck F<sub>q</sub>) and its application to a conditional construction of Artin representations of GL<sub>n</sub>」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

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