THE PATTERN CALCULUS FOR TENSOR-OPERATORS IN QUANTUM GROUPS

被引：12

作者：

GOULD, M ^{[1
]}

BIEDENHARN, LC ^{[1
]}

机构：

[1] DUKE UNIV,DEPT PHYS,DURHAM,NC 27706

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1992年 / 33卷 / 11期

关键词：

D O I：

10.1063/1.529909

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An explicit algebraic evaluation is given for all q-tensor operators (with unit norm) belonging to the quantum group U(q)(u(n)) and having extremal operator shift patterns acting on arbitrary U(q)(u(n)) irreps. These rather complicated results are shown to be easily comprehensible in terms of a diagrammatic calculus of patterns. A more conceptual derivation of these results is discussed using fundamental properties of the q-6j coefficients.

引用

页码：3613 / 3635

页数：23

共 29 条

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