Orthogonal maximal Abelian \(*\)-subalgebras of the \(6\times 6\) matrices

DOI10.1016/j.laa.2007.10.023zbMath1140.15013arXivmath/0609076OpenAlexW2075530485MaRDI QIDQ2479497

Remus Nicoara, Kyle Beauchamp

Publication date: 26 March 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609076

zbMATH Keywords

subfactorscomplex Hadamard matricescommuting squaresmaximal Abelian \(\ast\)-algebras

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30)

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Cites Work

• Error-correcting codes associated with complex Hadamard matrices
• Classification of subfactors: The reduction to commuting squares
• Index for subfactors
• Fuglede's conjecture is false in 5 and higher dimensions
• All teleportation and dense coding schemes
• Some results on the parametrization of complex Hadamard matrices
• A Concise Guide to Complex Hadamard Matrices
• Constructions of Complex Hadamard Matrices via Tiling Abelian Groups
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