SPLITTING FIELDS OF ASSOCIATION SCHEMES

被引：10
|
作者：
MUNEMASA, A
机构：
[1] Department of Mathematics, The Ohio State University, Columbus
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 1991年 / 57卷 / 01期
关键词：
D O I：
10.1016/0097-3165(91)90014-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The splitting field K of a commutative association scheme is the extension of the rationals by the adjunction of all eigenvalues of the association scheme. Let L be a subfield of K containing all the Krein parameters. It is shown that the Galois group of K L is contained in the center of the Galois group of K Q. In particular, if the Krein parameters are all rational, then the eigenvalues are contained in a cyclotomic number field. © 1991.
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页码：157 / 161
页数：5
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