Ocneanu cell calculus and integrable lattice models

DOI10.1007/BF02096764zbMath0709.60536MaRDI QIDQ921742

Philippe Roche

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Probability theory and stochastic processes (60-XX) Statistical mechanics, structure of matter (82-XX)

Related Items

The \(E_ 7\) commuting squares produce \(D_{10}\) as principal graph, Integrable lattices and their sublattices: From the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme, Fermionic sum representations for conformal field theory characters, Orbifold subfactors from Hecke algebras, Fourier transform for paragroups and its application to the depth two case, Solving the fusion hierarchies of D and E lattice models, Subfactors and mathematical physics, Integrable anyon chains: from fusion rules to face models to effective field theories, Dynamical spin chains in 4D \(\mathcal{N} = 2\) SCFTs, Boundary conditions in rational conformal field theories., The many faces of Ocneanu cells, On Ocneanu's theory of double triangle algebras for subfactors and classification of irreducible connections on the Dynkin diagrams, Construction of modular branching functions from Bethe's equations in the 3-state Potts chain, Thermodynamics of the 3-state Potts spin chain, Identities in Representations of the Hecke Algebra, Centrally trivial automorphisms and an analogue of Connes' \(\chi(M)\) for subfactors, Twisted partition functions for ADE boundary conformal field theories and Ocneanu algebras of quantum symmetries

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