OPERATOR EQUALITIES RELATED TO THE QUANTUM E(2) GROUP

被引：31

作者：

WORONOWICZ, SL ^{[1
]}

机构：

[1] UNIV LYON 1,INST MATH,CNRS,URA 746,F-69622 VILLEURBANNE,FRANCE

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1992年 / 144卷 / 02期

关键词：

D O I：

10.1007/BF02101100

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The paper deals with normal operators R and S satisfying simple commutation relations that we encounter investigating the quantum deformation of the E(2) group. We show that R + S admits a normal extension if and only if R-1S satisfies a certain spectral condition. A number of related formulae are derived. In particular, all the functions f satisfying the character equation f(R + S) = f(R)f(S) are found.

引用

页码：417 / 428

页数：12