TENSOR PRODUCT OF GROUP-REPRESENTATIONS AND STRUCTURAL ZEROS OF RACAH COEFFICIENTS

被引:6
作者
VANDERJEUGT, J
机构
[1] Laboratorium voor Numerieke Wiskunde en Informatica, Universiteit Gent, B-9000 Gent
关键词
D O I
10.1063/1.529610
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is shown that structural (or nontrivial) zeros of Racah coefficients (6-j symbols) can be related to decompositions of tensor products of group representations reduced to SO(3). This extends a previous relation between structural zeros of 6-j symbols and boson realizations of exceptional Lie groups. In the present case, both classical and exceptional groups may appear, and examples are given for SU(3), SO(7), SO(9), and F4.
引用
收藏
页码:2417 / 2421
页数:5
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