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
[11]   ON THE POLYNOMIAL ZEROS OF THE CLEBSCH GORDAN AND RACAH COEFFICIENTS [J].
RAO, KS ;
RAJESWARI, V .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (05) :L243-L246
[12]   COMPANIONSHIP AND KNOT GROUP-REPRESENTATIONS [J].
LIVINGSTON, C .
TOPOLOGY AND ITS APPLICATIONS, 1987, 25 (03) :241-244
[13]   ANALYTIC LOCALIZATION OF GROUP-REPRESENTATIONS [J].
HECHT, H ;
TAYLOR, JL .
ADVANCES IN MATHEMATICS, 1990, 79 (02) :139-212
[14]   GROUP-REPRESENTATIONS WITHOUT GROUPS [J].
GABRIEL, P ;
RIEDTMANN, C .
COMMENTARII MATHEMATICI HELVETICI, 1979, 54 (02) :240-287
[15]   MATRICES, RELATIONS, AND GROUP-REPRESENTATIONS [J].
CARBONI, A .
JOURNAL OF ALGEBRA, 1991, 136 (02) :497-529
[16]   A SPLITTING PRINCIPLE FOR GROUP-REPRESENTATIONS [J].
SYMONDS, P .
COMMENTARII MATHEMATICI HELVETICI, 1991, 66 (02) :169-184
[17]   QUANTUM GROUP-REPRESENTATIONS AND PERMUTATIONS [J].
VASSEROT, E .
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1993, 26 (06) :747-773
[18]   LOCAL RADICALS IN GROUP-REPRESENTATIONS [J].
VOVSI, SM .
COMMUNICATIONS IN ALGEBRA, 1985, 13 (06) :1327-1357
[19]   COMBINATORIAL ENUMERATION AND GROUP-REPRESENTATIONS [J].
NEWMAN, DJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (11) :3395-3404
[20]   HOMOGENEOUS VARIETIES OF GROUP-REPRESENTATIONS [J].
VOVSI, SM .
SIBERIAN MATHEMATICAL JOURNAL, 1988, 29 (03) :360-371
12345