关于偶数维上的Borel-Anosov表示

IF 1.1 3区数学 Q1 MATHEMATICS

Commentarii Mathematici Helvetici Pub Date : 2019-09-28 DOI:10.4171/cmh/502

Konstantinos Tsouvalas

引用次数: 8

摘要

证明了一个允许$P_{2q+1}$-Anosov表示为$\mathsf{PGL}(4q+2， \mathbb{R})$的词双曲群包含一个有限索引子群，该子群要么是自由的，要么是曲面群。因此，我们给出了Sambarino关于Borel Anosov表示为$\mathsf{SL}(4q+2，\mathbb{R})$的问题的肯定答案。

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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On Borel Anosov representations in even dimensions

We prove that a word hyperbolic group which admits a $P_{2q+1}$-Anosov representation into $\mathsf{PGL}(4q+2, \mathbb{R})$ contains a finite-index subgroup which is either free or a surface group. As a consequence, we give an affirmative answer to Sambarino's question for Borel Anosov representations into $\mathsf{SL}(4q+2,\mathbb{R})$.

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来源期刊

Commentarii Mathematici Helvetici 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Commentarii Mathematici Helvetici (CMH) was established on the occasion of a meeting of the Swiss Mathematical Society in May 1928. The first volume was published in 1929. The journal soon gained international reputation and is one of the world''s leading mathematical periodicals. Commentarii Mathematici Helvetici is covered in: Mathematical Reviews (MR), Current Mathematical Publications (CMP), MathSciNet, Zentralblatt für Mathematik, Zentralblatt MATH Database, Science Citation Index (SCI), Science Citation Index Expanded (SCIE), CompuMath Citation Index (CMCI), Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), ISI Alerting Services, Journal Citation Reports/Science Edition, Web of Science.