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
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1992年 / 33卷 / 07期
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
相关论文
共 50 条
[21]   THE SPACE OF SURFACE GROUP-REPRESENTATIONS [J].
LI, J .
MANUSCRIPTA MATHEMATICA, 1993, 78 (03) :223-243
[22]   GROUP-REPRESENTATIONS, GEOMETRY AND TOPOLOGY [J].
LEHRER, GI .
LECTURE NOTES IN MATHEMATICS, 1990, 1456 :14-31
[23]   SEMIREGULAR INDUCTION OF GROUP-REPRESENTATIONS [J].
KLEIN, DJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (02) :200-203
[24]   2 RADICALS IN GROUP-REPRESENTATIONS [J].
VOVSI, SM .
COMMUNICATIONS IN ALGEBRA, 1994, 22 (12) :5105-5115
[25]   UNITARY BRAID GROUP-REPRESENTATIONS [J].
CONSTANTINESCU, F .
JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (06) :3126-3133
[26]   ON MULTILINEAR IDENTITIES OF GROUP-REPRESENTATIONS [J].
VOVSI, SM ;
VOLKOV, MV .
COMMUNICATIONS IN ALGEBRA, 1990, 18 (02) :389-401
[27]   RANDOM SHUFFLES AND GROUP-REPRESENTATIONS [J].
FLATTO, L ;
ODLYZKO, AM ;
WALES, DB .
ANNALS OF PROBABILITY, 1985, 13 (01) :154-178
[28]   DECOMPOSITION OF TENSOR PRODUCT OF REPRESENTATIONS OF SYMMETRIC GROUP [J].
SCHINDLER, S ;
MIRMAN, R .
JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (08) :1678-1696
[29]   INDUCTION OF QUANTUM GROUP-REPRESENTATIONS [J].
GONZALEZRUIZ, A ;
IBORT, LA .
PHYSICS LETTERS B, 1992, 296 (1-2) :104-108
[30]   MULTIPLICITIES FOR SPACE GROUP-REPRESENTATIONS [J].
DIRL, R .
JOURNAL OF MATHEMATICAL PHYSICS, 1979, 20 (04) :664-670
12345