Quantum symmetry algebras of spin systems related to Temperley–Lieb R-matrices

DOI10.1063/1.2873025zbMath1153.81389arXiv0712.3154OpenAlexW2013420325MaRDI QIDQ3544635

No author found.

Publication date: 8 December 2008

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

Full work available at URL: https://arxiv.org/abs/0712.3154

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12) Hopf algebras and their applications (16T05)

Related Items (11)

Universal Bethe ansatz solution for the Temperley-Lieb spin chain ⋮ Reflection \(K\)-matrices related to Temperley-Lieb \(R\)-matrices ⋮ Temperley-Lieb algebra, Yang-Baxterization and universal gate ⋮ Graphical solutions of the Yang–Baxter Equation with cut strands ⋮ Temperley-Lieb \(R\)-matrices from generalized Hadamard matrices ⋮ Quantum spin chains of Temperley–Lieb type: periodic boundary conditions, spectral multiplicities and finite temperature ⋮ Quantum integrability and quantum groups: a special issue in memory of Petr P Kulish ⋮ THE REPRESENTATIONS OF TEMPERLEY-LIEB ALGEBRA AND ENTANGLEMENT IN A YANG-BAXTER SYSTEM ⋮ The \(q\)-deformed Haldane-Shastry spin chain model and the corresponding topological basis realization ⋮ METHOD OF CONSTRUCTING BRAID GROUP REPRESENTATION AND ENTANGLEMENT IN A 9 × 9 YANG–BAXTER SYSTEM ⋮ Symmetries of spin systems and Birman–Wenzl–Murakami algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model
• Magic in the spectra of the \(XXZ\) quantum chain with boundaries at \(\Delta =0\) and \(\Delta = - 1/2\)
• Quantum inverse problem method. I
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• The algebraic Bethe ansatz for rational braid-monoid lattice models
• Module categories over representations of \(\text{SL}_q(2)\) and graphs
• Enlarged symmetry algebras of spin chains, loop models, and \(S\)-matrices
• The quantum group of a nondegenerate bilinear form.
• Temperley-Lieb lattice models arising from quantum groups
• Exact solutions forA-DTemperley - Lieb models
• The Representation Category of the Quantum Group of a Non-degenerate Bilinear Form
• On spin systems related to the Temperley–Lieb algebra
• Exactly Solvable Models and New Link Polynomials. V. Yang-Baxter Operator and Braid-Monoid Algebra

This page was built for publication: Quantum symmetry algebras of spin systems related to Temperley–Lieb R-matrices