SOME SPHERICAL T-DESIGNS

被引:12
作者
BANNAI, E [1 ]
机构
[1] GAKUSHUIN UNIV,DEPT MATH,TOSHIMA KU,TOKYO 171,JAPAN
关键词
D O I
10.1016/0097-3165(79)90064-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let G be a finite subgroup of the orthogonal group O(d). It is shown that many spherical t-designs are constructed from G, if some particular irreducible representations of O(d) remain irreducible when restricted to G. © 1979.
引用
收藏
页码:157 / 161
页数:5
相关论文
共 10 条
[1]  
BRELOT M, 1954, 2 COLL EQ DER PART B, P45
[2]  
Curtis C.W., 1962, REPRESENTATION THEOR
[3]  
Delsarte P., 1977, GEOMETRIAE DEDICATA, V6, P363, DOI DOI 10.1007/BF03187604
[4]  
Frame J.S., 1967, 1970 COMPUTATIONAL P, P111
[5]   ADDITION FORMULA FOR JACOBI POLYNOMIALS AND SPHERICAL HARMONICS [J].
KOORNWINDER, T .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1973, 25 (02) :236-246
[6]  
MURNAGHAN FD, 1937, THEORY GROUP REPRESE
[7]   CHARACTERS OF MULTIPLY TRANSITIVE PERMUTATION GROUPS [J].
SAXL, J .
JOURNAL OF ALGEBRA, 1975, 34 (03) :528-539
[8]  
TAKEUCHI M, 1975, MODERN SPHERICAL FUN
[9]  
VILENKIN NY, 1968, 22 AM MATH SOC MATH
[10]  
Weyl H., 1939, CLASSICAL GROUPS