Spin models constructed from Hadamard matrices

DOI10.1016/0097-3165(94)90106-6zbMath0808.05100OpenAlexW1995644146MaRDI QIDQ5906601

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Publication date: 9 March 1995

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2433/83532

zbMATH Keywords

distance-regular graphsHadamard matricesspin models

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Association schemes, strongly regular graphs (05E30)

Related Items (22)

Spin models with an eigenvalue of small multiplicity ⋮ On spin models, modular invariance, and duality ⋮ Homogeneity of a distance-regular graph which supports a spin model ⋮ Hadamard matrices and spin models ⋮ Quantum isomorphism of graphs from association schemes ⋮ Nomura algebras of nonsymmetric Hadamard models ⋮ Symmetric versus non-symmetric spin models for link invariants ⋮ On topological spin models and generalized \(\Delta - Y\) transformations ⋮ An algebra associated with a spin model ⋮ Leonard pairs, spin models, and distance-regular graphs ⋮ Spin models and strongly hyper-self-dual Bose-Mesner algebras ⋮ 1-homogeneous, pseudo-1-homogeneous, and 1-thin distance-regular graphs ⋮ Spin models constructed from Hadamard matrices ⋮ Equiangular lines, mutually unbiased bases, and spin models ⋮ On spin models, triply regular association schemes, and duality ⋮ Twisted extensions of spin models ⋮ Spin models and Bose-Mesner algebras ⋮ Bose-Mesner algebras related to type II matrices and spin models ⋮ Modular invariance property of association schemes, type II codes over finite rings and finite abelian groups and reminiscences of François Jaeger (a survey) ⋮ Some formulas for spin models on distance-regular graphs ⋮ Association schemoids and their categories ⋮ Spin models of index 2 and Hadamard models

Cites Work

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• On knot invariants related to some statistical mechanical models
• Strongly regular graphs and spin models for the Kauffman polynomial
• Spin models for link polynomials, strongly regular graphs and Jaeger's Higman-Sims model
• Homogeneous graphs and regular near polygons
• Spin models on finite cyclic groups
• Spin models on bipartite distance-regular graphs

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