Hadamard matrices and spin models
type: Item
instance of: scholarly article
title: Hadamard matrices and spin models
zbMATH Open document ID: 0855.05038
DOI: 10.1016/0378-3758(95)00094-1
author: Mieko Yamada
published in: Journal of Statistical Planning and Inference
publication date: 1997-01-26T00:00:00Z
review text: 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)].
Mathematics Subject Classification ID: 05B20
Mathematics Subject Classification ID: 05E30
zbMATH DE Number: 906669
zbMATH Keywords: pseudo-Jones type spin model
zbMATH Keywords: symmetric Hadamard type spin model
zbMATH Keywords: Hadamard matrix
zbMATH Keywords: amorphous association scheme
zbMATH Keywords: spin models
reviewed by: D. Raghavarao
MaRDI profile type: Publication
full work available at URL: 0378-3758(95)00094-1
OpenAlex ID: W2005061584
cites work: Generalized generalized spin models (four-weight spin models)
cites work: Amorphous association schemes over the Galois rings of characteristic 4
cites work: Q4284644
cites work: Strongly regular graphs and spin models for the Kauffman polynomial
cites work: On knot invariants related to some statistical mechanical models
cites work: GENERALIZED SPIN MODELS
cites work: Hadamard matrices of order 28 with automorphism groups of order two
cites work: Spin models constructed from Hadamard matrices
description: scientific article; zbMATH DE number 906669