Finiteness for parabolic group actions in classical groups

被引:0
作者
T. Brüstle
G. Röhrle
L. Hille
机构
[1] Fakultät für Mathematik,
[2] Universität Bielefeld,undefined
[3] Postfach 100131,undefined
[4] 33501 Bielefeld,undefined
[5] Germany,undefined
[6] Mathematisches Seminar,undefined
[7] der Universität Hamburg,undefined
[8] Bundesstr.55,undefined
[9] 20146 Hamburg,undefined
[10] Germany,undefined
来源
Archiv der Mathematik | 2001年 / 76卷
关键词
Group Action; Classical Group; Algebraic Group; Parabolic Subgroup; Central Series;
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摘要
In this paper we classify all instances when a parabolic subgroup P of a classical algebraic group acts with only finitely many orbits on the l-th member of the descending central series of the unipotent radical Pu of P for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $l \geqq 1$\end{document}. This extends results from [2] and [3].
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页码:81 / 87
页数:6
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