Document Zbl 1205.53093

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Star product and star exponential. (English) Zbl 1205.53093

J. Geom. Symmetry Phys. 19, 99-111 (2010).

This paper introduces a family of star products, parameterized by the space of complex symmetric matrices. Let us recall that Omori-Maeda-Miyazaki-Yoshioka obtained a generalization of the well-known Moyal-Weyl product by means of complex symmetric matrices. In this work, the authors consider this generalization and review the relevant facts about topological spaces and star exponentials. Then, they study several examples where they obtained interesting results. The star exponential of these examples are also discussed.

Reviewer: Angela Gammella-Mathieu (Metz)

Cited in 1 Review

MSC:

53D55	Deformation quantization, star products
53D17	Poisson manifolds; Poisson groupoids and algebroids

Keywords:

deformation quantization; star products; star exponential; Weyl algebra; symmetric matrices

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