From Dixmier algebras to Star Products
Quantum Algebra
2007-05-23 v1 Representation Theory
Abstract
Let M be a Galois cover of a nilpotent coadjoint orbit of a complex semisimple Lie group. We define the notion of a PERFECT Dixmier algebra for M and show how this produces a graded (non-local) equivariant star product on M with several very nice properties. This is part of a larger program we have been developing for working out the orbit method for nilpotent orbits.
Cite
@article{arxiv.math/0002118,
title = {From Dixmier algebras to Star Products},
author = {Ranee Brylinski},
journal= {arXiv preprint arXiv:math/0002118},
year = {2007}
}
Comments
8 pages; Latex; see http://www.math.psu.edu/rkb for more papers