Geometry of quantum homogeneous vector bundles and representation theory of quantum groups I

被引：15

作者：

Gover, AR ^{[1
]}

Zhang, RB

机构：

[1] Queensland Univ Technol, Brisbane, Qld, Australia

[2] Univ Adelaide, Dept Pure Math, Adelaide, SA 5005, Australia

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 1999年 / 11卷 / 05期

关键词：

D O I：

10.1142/S0129055X99000209

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Quantum homogeneous vector bundles are introduced in the context of Woronowicz type compact quantum groups. The bundles carry natural topologies, and their sections furnish finite type projective modules over algebras of functions on quantum homogeneous spaces. Further properties of the quantum homogeneous vector bundles are investigated, and applied to the study of the geometrical structures of induced representations of quantum groups.

引用

页码：533 / 552

页数：20

共 25 条

[1] REPRESENTATIONS OF QUANTUM ALGEBRAS [J].