A quotient restriction theorem for actions of real reductive groups

作者:Stoetzel Henrik
来源:Journal fur die Reine und Angewandte Mathematik, 2010, 640: 117-134.
DOI:10.1515/CRELLE.2010.022

摘要

We prove a version of the Chevalley Restriction Theorem for the action of a real reductive group G on a topological space X which locally embeds into a holomorphic representation. Assuming that there exists an appropriate quotient X parallel to G for the G-action, we introduce a stratification which is defined with respect to orbit types of closed orbits. Our main result is a description of the quotient X parallel to G in terms of quotients by normalizer subgroups associated to the stratification.

  • 出版日期2010-3

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