The Weyl bundle as a differentiable manifold

被引：1
|
作者：
Tosiek, J [1 ]
机构：
[1] Tech Univ Lodz, Inst Phys, PL-93005 Lodz, Poland
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2005年 / 38卷 / 23期
关键词：
D O I：
10.1088/0305-4470/38/23/008
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The construction of an infinite-dimensional differentiable manifold R-infinity not modelled on any Banach space is proposed. Definition, metric and differential structures of a Weyl algebra (P*M-p[[h]], o) and a Weyl algebra bundle (P*M[[h]], o) are presented. Continuity of the o-product in the Tichonov topology is proved. Construction of the *-product of the Fedosov type in terms of theory of connection in a fibre bundle is explained.
引用
收藏
页码：5193 / 5216
页数：24
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