Zeta functions for spherical tits buildings of finite general linear groups

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-04 DOI:10.1016/j.aim.2024.109965

Jianhao Shen

引用次数: 0

Abstract

In this paper, we define edge zeta functions for spherical buildings associated with finite general linear groups. We derive elegant formulas for these zeta functions and reveal patterns of eigenvalues of these buildings, by introducing and applying insightful tools including digraphs

X_{0}

and

X_{2}

, cyclic n-partite graphs, partite-transitive group actions, and Springer's theorem on Hecke algebras.

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有限一般线性群球形山雀建筑的 Zeta 函数

在本文中，我们定义了与有限一般线性群相关的球形建筑的边缘zeta函数。我们通过引入和应用具有洞察力的工具，包括数字图 X0 和 X2、循环 n 部分图、部分传递群作用和关于赫克代数的 Springer 定理，推导出这些 zeta 函数的优雅公式，并揭示了这些建筑物的特征值模式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.