Orthogonal maximal abelian *-subalgebras of the 6x6 matrices
Operator Algebras
2007-05-23 v1 Combinatorics
Quantum Physics
Abstract
We construct new pairs of orthogonal maximal abelian -subalgebras of , 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. In the last part of the paper we present other previously unknown examples of complex Hadamard matrices of higher orders.
Keywords
Cite
@article{arxiv.math/0609076,
title = {Orthogonal maximal abelian *-subalgebras of the 6x6 matrices},
author = {Kyle Beauchamp and Remus Nicoara},
journal= {arXiv preprint arXiv:math/0609076},
year = {2007}
}