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• W2951474780 abstract "We show that integration over a $G$-manifold $M$ can be reduced to integration over a minimal section $Sigma$ with respect to an induced weighted measure and integration over a homogeneous space $G/N$. We relate our formula to integration formulae for polar actions and calculate some weight functions. In case of a compact Lie group acting on itself via conjugation, we obtain a classical result of Hermann Weyl. Our formula allows to view almost arbitrary isometric group actions as generalized random matrix ensembles. We also establish a reductive decomposition of Killing fields with respect to a minimal section." @default.
• W2951474780 created "2019-06-27" @default.
• W2951474780 creator A5002574831 @default.
• W2951474780 date "2009-01-16" @default.
• W2951474780 modified "2023-09-27" @default.
• W2951474780 title "A general Weyl-type Integration Formula for Isometric Group Actions" @default.
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