水平Γ1(tn)普通Drinfeld尖形上Hecke作用的琐屑性

IF 1.2 1区数学 Q1 MATHEMATICS

Journal fur die Reine und Angewandte Mathematik Pub Date : 2022-09-29 DOI:10.1515/crelle-2022-0058

Shin Hattori

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引用次数: 0

摘要

摘要设k≥2 {k\geq 2, }n≥1{ n \geq 1}为任意整数。在本文中，我们证明了所有Hecke算子都平凡地作用于阶为Γ 1¹(n){\hskip -0.569055pt \Gamma ＿1{(t^}n{) }\hskip -0.284528pt}和权为k {\hskip -0.284528ptk\hskip -0.569055pt的普通Drinfeld尖形空间上}。

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Triviality of the Hecke action on ordinary Drinfeld cuspforms of level Γ1(tn )

Abstract Let k ≥ 2 {k\geq 2} and n ≥ 1 {n\geq 1} be any integers. In this paper, we prove that all Hecke operators act trivially on the space of ordinary Drinfeld cuspforms of level Γ 1 ⁢ ( t n ) {\hskip-0.569055pt\Gamma_{1}(t^{n})\hskip-0.284528pt} and weight k {\hskip-0.284528ptk\hskip-0.569055pt} .

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来源期刊

Journal fur die Reine und Angewandte Mathematik 数学-数学

CiteScore

2.50

自引率

6.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal für die reine und angewandte Mathematik is the oldest mathematics periodical still in existence. Founded in 1826 by August Leopold Crelle and edited by him until his death in 1855, it soon became widely known under the name of Crelle"s Journal. In the almost 180 years of its existence, Crelle"s Journal has developed to an outstanding scholarly periodical with one of the worldwide largest circulations among mathematics journals. It belongs to the very top mathematics periodicals, as listed in ISI"s Journal Citation Report.