Invariant Measures on Polarized Submanifolds in Group Quantization
Guerrero, J. ; Aldaya, V.
arXiv, 0003024 / Harvested from arXiv
Text on arXiv
We provide an explicit construction of quasi-invariant measures on polarized coadjoint orbits of a Lie group G. The use of specific (trivial) central extensions of G by the multiplicative group ${R}^+$ allows us to restore the strict invariance of the measures and, accordingly, the unitarity of the quantization of coadjoint orbits. As an example, the representations of $SL(2,\Real)$ are recovered.
Publié le : 2000-03-22
Classification:  Mathematical Physics,  Mathematics - Representation Theory,  Mathematics - Symplectic Geometry 
@article{0003024,
     author = {Guerrero, J. and Aldaya, V.},
     title = {Invariant Measures on Polarized Submanifolds in Group Quantization},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0003024}
}

Guerrero, J.; Aldaya, V. Invariant Measures on Polarized Submanifolds in Group Quantization. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0003024/