Spin models on finite cyclic groups

DOI10.1023/A:1022407800541zbMath0803.05058MaRDI QIDQ1330166

Etsuko Bannai, Eiichi Bannai

Publication date: 23 August 1994

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

zbMATH Keywords

association schemespin modelcyclic grouplink invariantmodular invariance property

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Exactly solvable models; Bethe ansatz (82B23)

Related Items (22)

Impact of Group Theory in Cryptosystem ⋮ 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 ⋮ Unnamed Item ⋮ Spectral theory of spin substitutions ⋮ Symmetric versus non-symmetric spin models for link invariants ⋮ On topological spin models and generalized \(\Delta - Y\) transformations ⋮ Subalgebras of infinite \(C^*\)-algebras with finite Watatani indices. II: Cuntz-Krieger algebras ⋮ An algebra associated with a spin model ⋮ General form of non-symmetric spin models ⋮ Leonard pairs, spin models, and distance-regular graphs ⋮ Spin models and strongly hyper-self-dual Bose-Mesner algebras ⋮ Spin models constructed from Hadamard matrices ⋮ Tridiagonal pairs of \(q\)-Racah-type and the \(q\)-tetrahedron algebra ⋮ Spin models constructed from Hadamard matrices ⋮ On spin models, triply regular association schemes, and duality ⋮ 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 ⋮ On four-weight spin models and their gauge transformations ⋮ Some formulas for spin models on distance-regular graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On knot invariants related to some statistical mechanical models
• Cyclotomic invariants for links
• Metaplectic link invariants
• Strongly regular graphs and spin models for the Kauffman polynomial
• Association schemes and fusion algebras. (An introduction)
• Spin models for link polynomials, strongly regular graphs and Jaeger's Higman-Sims model
• Generalized generalized spin models (four-weight spin models)
• GENERALIZED SPIN MODELS
• An Invariant of Regular Isotopy

This page was built for publication: Spin models on finite cyclic groups