Hadamard matrices and spin models (Q1918208)
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scientific article; zbMATH DE number 906669
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hadamard matrices and spin models |
scientific article; zbMATH DE number 906669 |
Statements
Hadamard matrices and spin models (English)
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26 January 1997
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Using an Hadamard matrix of order \(4n\), a 4-associate amorphous association scheme can be constructed on \(16n^2\) symbols and from the association matrices of that scheme, the author constructed three real and two complex, symmetrical Hadamard matrices of order \(16n^2\). Necessary and sufficient conditions are given for those Hadamard matrices to yield generalized spin models of \textit{Eiichi Bannai} and \textit{Etsuko Bannai} [Pac. J. Math. 170, No. 1, 1-16 (1995; Zbl 0848.05072)].
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pseudo-Jones type spin model
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symmetric Hadamard type spin model
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Hadamard matrix
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amorphous association scheme
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spin models
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