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From Dixmier algebras to Star Products

Ranee Brylinski
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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.

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Ranee Brylinski. 2000-02-15. From Dixmier algebras to Star Products. https://arxiv.org/abs/math/0002118

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