The bubble algebra: structure of a two-colour Temperley–Lieb Algebra

DOI10.1088/0305-4470/36/42/010zbMath1053.81074arXivmath-ph/0307017OpenAlexW1988005263WikidataQ61847552 ScholiaQ61847552MaRDI QIDQ4468651

Paul P. Martin, Uwe Grimm

Publication date: 10 June 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0307017

zbMATH Keywords

representation theoryYang-Baxter equationsstatistical mechanics

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) 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) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (4)

The principal indecomposable modules of the dilute Temperley-Lieb algebra ⋮ A cellular algebra with specific decomposition of the unity ⋮ Uq(sln) web models and Zn spin interfaces ⋮ A coupled Temperley–Lieb algebra for the superintegrable chiral Potts chain

This page was built for publication: The bubble algebra: structure of a two-colour Temperley–Lieb Algebra