Banach Lie-Poisson spaces and reduction

被引：49
|
作者：
Odzijewicz, A
Ratiu, TS
机构：
[1] Univ Bialystok, Inst Phys, PL-15424 Bialystok, Poland
[2] Ecole Polytech Fed Lausanne, Ctr Bernoulli, CH-1015 Lausanne, Switzerland
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2003年 / 243卷 / 01期
关键词：
D O I：
10.1007/s00220-003-0948-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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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页码：1 / 54
页数：54
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