QUANTUM-E(2) GROUP AND ITS PONTRYAGIN DUAL

被引：81

作者：

WORONOWICZ, SL ^{[1
]}

机构：

[1] SWISS FED INST TECHNOL,CH-8092 ZURICH,SWITZERLAND

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1991年 / 23卷 / 04期

关键词：

AMS subject classifications (1991): 81R50; 22D25; 22D35;

D O I：

10.1007/BF00398822

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The quantum deformation of the group of motions of the plane and its Pontryagin dual are described in detail. It is shown that the Pontryagin dual is a quantum deformation of the group of transformations of the plane generated by translations and dilations. An explicit expression for the unitary bicharacter describing the Pontryagin duality is found. The Heisenberg commutation relations are written down.

引用

页码：251 / 263

页数：13

共 12 条

[1]

BAAJ S, 1983, CR ACAD SCI I-MATH, V296, P875

[2]

Baaj S., 1980, THESIS U PARIS 6, VVI

[3] 3-DIMENSIONAL QUANTUM GROUPS FROM CONTRACTIONS OF SU(2)Q [J].