Banach Lie-Poisson spaces and reduction
Symplectic Geometry
2009-11-07 v3 Functional Analysis
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.
Cite
@article{arxiv.math/0210207,
title = {Banach Lie-Poisson spaces and reduction},
author = {Anatol Odzijewicz and Tudor S. Ratiu},
journal= {arXiv preprint arXiv:math/0210207},
year = {2009}
}
Comments
58 pages, to apear in Comm.Math.Phys