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arXiv · 0805.3913

Extrinsic symplectic symmetric spaces

Michel Cahen·Simone Gutt·Nicolas Richard·Lorenz Schwachhoefer
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Abstract

We define the notion of extrinsic symplectic symmetric spaces and exhibit some of their properties. We construct large families of examples and show how they fit in the perspective of a complete classification of these manifolds. We also build a natural star-quantization on a class of examples.

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Michel Cahen, Simone Gutt, Nicolas Richard, Lorenz Schwachhoefer. 2008-05-26. Extrinsic symplectic symmetric spaces. https://doi.org/10.1016/j.geomphys.2008.11.013

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