Differentiability of quantum moment maps

Details Differentiability of quantum moment maps Differentiability of quantum moment maps

2002-10-03

arxiv.org/abs/math/0210044v1

Mathematics

Quantum Algebra

21 pages

Scientific paper

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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