水平Γ1(tn)普通Drinfeld尖形上Hecke作用的琐屑性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.