Temperley-Lieb algebra, group theory and the Potts model

DOI10.1088/0305-4470/21/3/014zbMath0668.22010OpenAlexW2060979871WikidataQ61847570 ScholiaQ61847570MaRDI QIDQ3820843

Paul P. Martin

Publication date: 1988

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/21/3/014

zbMATH Keywords

transfer matrixirreducible representationsq-state Potts modelTemperley-Lieb algebraAndrews-Baxter-Forrester modelexactly soluble statistical mechanical models

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (5)

Combinatorial properties of the Temperley-Lieb algebra of a Coxeter group. ⋮ Generalisations of Hecke algebras from loop braid groups ⋮ Topological basis realization associated with spin-1 non-Hermitian XXZ model ⋮ On the algebraic approach to solvable lattice models ⋮ Algebraic structure of translation-invariant spin-1/2xxzandq-Potts quantum chains

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