A general Weyl-type Integration Formula for Isometric Group Actions
| dc.creator | Magata, Frederick | |
| dc.date | 2009-01-16 | |
| dc.date.accessioned | 2026-07-07T12:31:06Z | |
| dc.date.available | 2026-07-07T12:31:06Z | |
| dc.description | 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 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. | |
| dc.description | 14 pages, based on the authors docotral thesis | |
| dc.identifier | https://arxiv.org/abs/0901.2515 | |
| dc.identifier | http://arxiv.org/abs/0901.2515 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216339 | |
| dc.subject | Differential Geometry | |
| dc.subject | 57S25; 53C20 | |
| dc.title | A general Weyl-type Integration Formula for Isometric Group Actions | |
| dc.type | text |