A GENERAL WEYL-TYPE INTEGRATION FORMULA FOR ISOMETRIC GROUP ACTIONS

作者:Magata Frederick*
来源:Transformation Groups, 2010, 15(1): 184-200.
DOI:10.1007/s00031-010-9076-7

摘要

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 the case of a compact Lie group acting on itself via conjugation, we obtain a classical result of Hermann Weyl.

  • 出版日期2010-3

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