On Spherical Designs Obtained From Q-Polynomial Association Schemes

被引：8
作者：
Suda, Sho [1 ]
机构：
[1] Tohoku Univ, Div Math, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, Japan
来源：
JOURNAL OF COMBINATORIAL DESIGNS | 2011年 / 19卷 / 03期
关键词：
symmetric association scheme; spherical design; Q-polynomial association scheme; Catalan number; orthogonal polynomial;
D O I：
10.1002/jcd.20278
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize that the image of the embedding of the Q-polynomial association scheme into the first eigenspace by primitive idempotent E(1) is a spherical t-design in terms of the Krein numbers. Furthermore, we show that the strengths of P-and Q-polynomial schemes as spherical designs are bounded by a constant. (C) 2011 Wiley Periodicals, Inc. J Combin Designs 19: 167-177, 2011
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页码：167 / 177
页数：11
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