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Banach Lie-Poisson spaces and reduction

Anatol Odzijewicz·Tudor S. Ratiu
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Abstract

The category of Banach Lie-Poisson spaces is introduced and studied. It is shown that the category of W*-algebras can be considered as one of its subcategories. Examples and applications of Banach Lie-Poisson spaces to quantization and integration of Hamiltonian systems are given. The relationship between classical and quantum reduction is discussed.

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Anatol Odzijewicz, Tudor S. Ratiu. 2003-04-24. Banach Lie-Poisson spaces and reduction. https://doi.org/10.1007/s00220-003-0948-8

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