On quantizing semisimple basic algebras
Gotay, Mark J.
arXiv, 0012034 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-12-18
Classification:  Mathematical Physics,  Mathematics - Symplectic Geometry 
@article{0012034,
     author = {Gotay, Mark J.},
     title = {On quantizing semisimple basic algebras},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0012034}
}

Gotay, Mark J. On quantizing semisimple basic algebras. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0012034/