Trace Functionals of the Kontsevich Quantization

Details Trace Functionals of the Kontsevich Quantization Trace Functionals of the Kontsevich Quantization

2000-01-14

arxiv.org/abs/math/0001081v1

Mathematics

Quantum Algebra

11 pages

Scientific paper

We generalize the notion of trace to the Kontsevich quantization algebra and
show that for all Poisson manifolds representable by quotients of a symplectic
manifold by a Hamiltonian action of a nilpotent Lie group, the trace is given
by integration with respect to a unimodular volume form.

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