Temperley-Lieb lattice models arising from quantum groups

DOI10.1088/0305-4470/24/11/026zbMath0735.17032OpenAlexW2001710727MaRDI QIDQ3986029

Atsuo Kuniba, Murray T. Batchelor

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1088/0305-4470/24/11/026

zbMATH Keywords

quantum groupsfusionTemperley-Lieb algebraWess-Zumino-Witten modelsolvable quantum spin chains

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81)

Related Items (20)

Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equation ⋮ Universal Bethe ansatz solution for the Temperley-Lieb spin chain ⋮ Graded representations of the Temperley–Lieb algebra, quantum supergroups, and the Jones polynomial ⋮ Semi-simplicity of Temperley-Lieb algebras of type D ⋮ Tensor space representations of Temperley–Lieb algebra via orthogonal projections of rank r ≥ 1 ⋮ Birman-Wenzl-Murakami algebra, topological parameter and Berry phase ⋮ Generalised Temperley-Lieb algebras of type \(G(r,1,n)\) ⋮ A relation for the Jones–Wenzl projector and tensor space representations of the Temperley–Lieb algebra ⋮ Quantum algebras with representation ring of \(\mathfrak{sl}_2\) type ⋮ Quantum symmetry algebras of spin systems related to Temperley–Lieb R-matrices ⋮ On the \mathcal {U}_{q}[sl(2) Temperley–Lieb reflection matrices] ⋮ Temperley–LiebK-matrices ⋮ Bethe ansatz for the Temperley–Lieb spin chain with integrable open boundaries ⋮ On the \(\mathcal{{U}}_{q}[osp(1|2)\) Temperley-Lieb model] ⋮ Closed \(\text{SU}(2)_q\) invariant spin chain ⋮ THE REPRESENTATIONS OF TEMPERLEY-LIEB ALGEBRA AND ENTANGLEMENT IN A YANG-BAXTER SYSTEM ⋮ Solvable RSOS models based on the dilute BWM algebra ⋮ Exact solutions of graded Temperley-Lieb Hamiltonians. ⋮ Numerical algorithm for the calculation of the ground states in the \(U_qSU(2)\) symmetric spin-\(\tfrac 12\) Heisenberg chain ⋮ BETHE ANSATZ SOLUTIONS FOR TEMPERLEY–LIEB QUANTUM SPIN CHAINS

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