Temperley-Lieb algebras and the long distance properties of statistical mechanical models

DOI10.1088/0305-4470/23/1/009zbMath0704.22020OpenAlexW2082350946WikidataQ61847566 ScholiaQ61847566MaRDI QIDQ3483493

Paul P. Martin

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1088/0305-4470/23/1/009

zbMATH Keywords

generatorslattice modelstransfer matricesTemperley-Lieb algebraregular representationstatistical mechanical modelslong distance properties

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) 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. ⋮ Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals ⋮ Path representation of maximal parabolic Kazhdan-Lusztig polynomials. ⋮ Indecomposable tilting modules for the blob algebra ⋮ On the two-point correlation functions for the \(U_q[\text{SU}(2)\) invariant spin one-half Heisenberg chain at roots of unity]

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