From Dixmier algebras to Star Products

Details From Dixmier algebras to Star Products From Dixmier algebras to Star Products

2000-02-15

arxiv.org/abs/math/0002118v1

Mathematics

Quantum Algebra

8 pages; Latex; see http://www.math.psu.edu/rkb for more papers

Scientific paper

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.

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