Hyperbolic Coxeter groups, symmetry group invariants for lattice models in statistical mechanics and the Tutte-Beraha numbers

DOI10.1016/S0895-7177(97)00205-7zbMath1185.82012OpenAlexW2059621852MaRDI QIDQ967957

Jean-Marie Maillard

Publication date: 2 May 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(97)00205-7

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• The Yang-Baxter equations and the Zamolodchikov model
• Limits of chromatic zeros of some families of maps
• Odd order group actions and Witt classification of inner products
• Cellular automata and statistical mechanical models
• BAXTERIZATION
• Automorphisms of algebraic varieties and Yang–Baxter equations
• On the duality of interaction models
• INVERSION AND SYMMETRY RELATIONS FOR A THREE-DIMENSIONAL SOLVABLE MODEL
• Rational mappings, arborescent iterations, and the symmetries of integrability
• Inversion relations and symmetry groups for Potts models on the triangular lattice
• Series studies of the Potts model. II. Bulk series for the square lattice
• Hyperbolic Coxeter groups for triangular Potts models
• DETERMINANTAL IDENTITIES ON INTEGRABLE MAPPINGS
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
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