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