A Quotient Restriction Theorem for actions of real reductive groups

Details A Quotient Restriction Theorem for actions of real reductive groups A Quotient Restriction Theorem for actions of real reductive groups

2008-11-26

arxiv.org/abs/0811.4273v1

Mathematics

Representation Theory

14 pages

Scientific paper

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//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//G in terms of quotients by normalizer subgroups associated to the stratification.

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