INTEGRABLE OPERATOR REPRESENTATIONS OF RQ(2), XQ,GAMMA AND SLQ(2,R)

被引：31

作者：

SCHMUDGEN, K

机构：

[1] Fachbereich Mathematik/Informatik, Universität Leipzig, Leipzig, D-04109

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1994年 / 159卷 / 02期

关键词：

D O I：

10.1007/BF02102637

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Let q be a complex number such that Absolute value of q = 1 and q4 not-equal 1. Integrable (''well-behaved'') operator representations of the *-algebra SL(q)(2,R) in Hilbert space are defined and completely classified up to unitary equivalence. In order to do this, the relation xy - qyx = gamma(1 - q), gamma is-an-element-of R, for self-adjoint operators x and y is studied in detail. Integrable representations for this relation are defined and classified.

引用

页码：217 / 237

页数：21

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