On quantizing semisimple basic algebras
Mathematical Physics
2007-05-23 v2 math.MP
Symplectic Geometry
Abstract
We show that there is a consistent polynomial quantization of the coordinate ring of a basic nilpotent coadjoint orbit of a semisimple Lie group. We also show, at least in the case of a nilpotent orbit in sl(2,R)*, that any such quantization is essentially trivial. Furthermore, we prove that the coordinate ring of a basic semisimple orbit in sl(2,R)* cannot be consistently polynomially quantized.
Cite
@article{arxiv.math-ph/0012034,
title = {On quantizing semisimple basic algebras},
author = {Mark J. Gotay},
journal= {arXiv preprint arXiv:math-ph/0012034},
year = {2007}
}
Comments
15 pages, Latex2e. Section 3 substantially redone