On spin models, modular invariance, and duality

DOI10.1023/A:1008649626312zbMath0880.05083MaRDI QIDQ1361456

François Jaeger, Etsuko Bannai, Eiichi Bannai

Publication date: 19 January 1998

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

zbMATH Keywords

association schemeBose-Mesner algebraspin modeldualitymodular invarianceabelian group scheme

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

Related Items (22)

Spin Leonard pairs ⋮ A matrix equation for association schemes ⋮ Homogeneity of a distance-regular graph which supports a spin model ⋮ Self‐dual association schemes, fusions of Hamming schemes, and partial geometric designs ⋮ Symmetric versus non-symmetric spin models for link invariants ⋮ An algebra associated with a spin model ⋮ General form of non-symmetric spin models ⋮ Spin models and strongly hyper-self-dual Bose-Mesner algebras ⋮ Tridiagonal pairs of \(q\)-Racah-type and the \(q\)-tetrahedron algebra ⋮ Spin models constructed from Hadamard matrices ⋮ Type-II matrices in weighted Bose-Mesner algebras of ranks 2 and 3 ⋮ On the origin and development of subfactors and quantum topology ⋮ On spin models, triply regular association schemes, and duality ⋮ On the ring of simultaneous invariants for the Gleason-MacWilliams group ⋮ Spin models and Bose-Mesner algebras ⋮ Duality maps of finite abelian groups and their applications to spin models ⋮ Bose-Mesner algebras related to type II matrices and spin models ⋮ Commutative association schemes ⋮ On four-weight spin models and their gauge transformations ⋮ Distance-regular graphs which support a spin model are thin ⋮ 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

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