Type II matrices and their Bose-Mesner algebras

DOI10.1023/A:1021960623533zbMath1011.05065OpenAlexW131540543MaRDI QIDQ1868380

Rie Hosoya, Hiroshi Suzuki

Publication date: 27 April 2003

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021960623533

zbMATH Keywords

association schemesspin modelsBose-Mesner algebras

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

Related Items (5)

Hamming graphs in Nomura algebras ⋮ Complex Hadamard matrices contained in a Bose-Mesner algebra ⋮ Type-II matrices in weighted Bose-Mesner algebras of ranks 2 and 3 ⋮ Biunitary constructions in quantum information ⋮ Isolated Hadamard matrices from mutually unbiased product bases

Cites Work

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• An algebra associated with a spin model
• On knot invariants related to some statistical mechanical models
• Bose-Mesner algebras related to type II matrices and spin models
• Type II matrices of size five
• The classification of certain four-weight spin models
• On four-weight spin models and their gauge transformations
• Twisted extensions of spin models
• Generalized generalized spin models (four-weight spin models)
• GENERALIZED SPIN MODELS
• CLASSIFICATION OF ASSOCIATION SCHEMES WITH AT MOST TEN VERTICES
• Some classes of four-weight spin models

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