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Differentiability of quantum moment maps

Kentaro Hamachi
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Abstract

We study quantum moment maps of $G$-invariant star products, which are a quantum analogue of the moment map for classical Hamiltonian systems. Introducing an integral representation, we show that any quantum moment map for a $G$-invariant star product is differentiable. This property gives us a new method for the classification of $G$-invariant star products on regular coadjoint orbits of compact semisimple Lie groups.

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Kentaro Hamachi. 2002-10-03. Differentiability of quantum moment maps. https://arxiv.org/abs/math/0210044

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