A general Weyl-type integration formula for isometric group actions |
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Authors: | Frederick Magata |
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Affiliation: | 1. Department of Mathematics, University of Münster, Einsteinstr. 62, 48149, Münster, Germany
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Abstract: | We show that integration over a G-manifold M can be reduced to integration over a minimal section Σ with respect to an induced weighted measure and integration over a homogeneous space G/N. We relate our formula to integration formulæ for polar actions and calculate some weight functions. In the case of a compact Lie group acting on itself via conjugation, we obtain a classical result of Hermann Weyl. |
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