Orthogonal maximal abelian *-subalgebras of the 6x6 matrices

被引：26

作者：

Beauchamp, Kyle ^{[2
]}

Nicoara, Remus ^{[1
]}

机构：

[1] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA

[2] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 428卷 / 8-9期

基金：

美国国家科学基金会;

关键词：

complex Hadamard matrices; maximal abelian *-algebras; commuting squares; subfactors;

D O I：

10.1016/j.laa.2007.10.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct new pairs of Orthogonal maximal abelian *-subalgebras of M-6(C), by classifying all self-adjoint complex Hadamard matrices of order 6. In particular, we exhibit a non-affine one-parameter family of non-equivalent Hadamard matrices of order 6. Published by Elsevier Inc.

引用

页码：1833 / 1853

页数：21

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