Invariant Measures on Polarized Submanifolds in Group Quantization
Mathematical Physics
2015-06-26 v1 math.MP
Representation Theory
Symplectic Geometry
Abstract
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 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 are recovered.
Cite
@article{arxiv.math-ph/0003024,
title = {Invariant Measures on Polarized Submanifolds in Group Quantization},
author = {J. Guerrero and V. Aldaya},
journal= {arXiv preprint arXiv:math-ph/0003024},
year = {2015}
}
Comments
20 pages, plain LateX