From affine Hecke algebras to boundary symmetries

DOI10.1016/j.nuclphysb.2005.07.015zbMath1178.81125arXivmath-ph/0409060OpenAlexW1972745765MaRDI QIDQ876187

Anastasia Doikou

Publication date: 16 April 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0409060

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (19)

(Quantum) twisted Yangians: Symmetry, Baxterisation, and centralizers ⋮ Reflection \(K\)-matrices related to Temperley-Lieb \(R\)-matrices ⋮ Boundary Lax pairs for the \(A_n^{(1)}\) Toda field theories ⋮ Systematic classical continuum limits of integrable spin chains and emerging novel dualities ⋮ Baxterization of solutions to reflection equation with Hecke \(R\)-matrix. ⋮ Set-theoretic Yang-Baxter \& reflection equations and quantum group symmetries ⋮ Murphy elements from the double-row transfer matrix ⋮ New reflection matrices for theU_q(gl(m|n)) case ⋮ Temperley–LiebK-matrices ⋮ Bethe states and Knizhnik-Zamolodchikov equations of the trigonometric Gaudin model with triangular boundary ⋮ Integrable boundary conditions and modified Lax equations ⋮ On boundary fusion and functional relations in the Baxterized affine Hecke algebra ⋮ INTRODUCTION TO QUANTUM INTEGRABILITY ⋮ Generalized \(q\)-Onsager algebras and boundary affine Toda field theories ⋮ Jordanian deformation of the open XXX spin chain ⋮ The openXXZand associated models atqroot of unity ⋮ On , , , , , , and reflectionK-matrices ⋮ On boundary superalgebras ⋮ TRIGONOMETRIC sℓ(2) GAUDIN MODEL WITH BOUNDARY TERMS

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