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arXiv 1010.5490math.DSmath.GR
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Raghunathan正特征猜想的一个联接分类和一个特例(附Kevin Wortman附录)

A joining classification and a special case of Raghunathan's conjecture in positive characteristic (with an appendix by Kevin Wortman)

Manfred Einsiedler, Amir Mohammadi

摘要:

本文证明了作用在齐性空间上的极大次球面子群的并的分类,对特征没有任何限制。利用线性化技术,我们推导出Raghunathan轨道闭合猜想的一个特例。在附录中,刻画了正特征域上半单代数群中高秩格的拟等距。

英文摘要:

We prove the classification of joinings for maximal horospherical subgroups acting on homogeneous spaces without any restriction on the characteristic. Using the linearization technique we deduce a special case of Raghunathan's orbit closure conjecture. In the appendix quasi-isometries of higher rank lattices in semisimple algebraic groups over fields of positive characteristic are characterized.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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