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From affine Hecke algebras to boundary symmetries (Q876187)

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scientific article

Language	Label	Description	Also known as
English	From affine Hecke algebras to boundary symmetries	scientific article

Statements

scholarly article

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From affine Hecke algebras to boundary symmetries (English)

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Anastasia Doikou

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publication date

16 April 2007

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full work available at URL

https://arxiv.org/abs/math-ph/0409060

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MaRDI profile type

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A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation

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Quantum R matrix for the generalized Toda system

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The spectral theory of a functional-difference operator in conformal field theory

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Representations of Coxeter groups and Hecke algebras

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Generalized Blob Algebras and Alcove Geometry

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Hecke algebraic approach to the reflection equation for spin chains

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The twisted XXZ chain at roots of unity revisited

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FRACTIONAL-SPIN INTEGRALS OF MOTION FOR THE BOUNDARY SINE–GORDON MODEL AT THE FREE FERMION POINT

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Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line

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Boundary quantum group generators of type A

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Solutions of the boundary Yang Baxter equation for arbitrary spin

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Quantum affine reflection algebras of type \(d_n^{(1)}\) and reflection matrices

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An integrable structure related with tridiagonal algebras

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\(N=2\) boundary supersymmetry in integrable models and perturbed boundary conformal field theory

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Sine-Gordon quantum field theory on the half-line with quantum boundary degrees of freedom

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On reflection algebras and twisted Yangians

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A diagrammatic approach to Hecke algebras of the reflection equation

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A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras

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The blob algebra and the periodic Temperley-Lieb algebra

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Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

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Boundary K-matrices for the XYZ, XXZ and XXX spin chains

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Duality and quantum-algebra symmetry of the \(A^{(1)}_{\mathcal N-1}\) open spin chain with diagonal boundary fields

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Classically integrable boundary conditions for affine Toda field theories

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General boundary conditions for the and open spin chains

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Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\)

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COIDEAL SUBALGEBRAS IN QUANTUM AFFINE ALGEBRAS

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Quantum group symmetries and non-local currents in 2D QFT

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Bethe ansatz and quantum groups: the light-cone lattice approach. I: Six vertex and SOS models

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The general U<sub>q</sub>(sl(2)) invariant XXZ integrable quantum spin chain

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The \(sl_2\) loop algebra symmetry of the six-vertex model at roots of unity

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Loop symmetry of integrable vertex models at roots of unity

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The<i>sl</i><sub>2</sub>loop algebra symmetry of the twisted transfer matrix of the six-vertex model at roots of unity

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REPRESENTATIONS OF REFLECTION ALGEBRAS

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Factorizing particles on a half-line and root systems

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Boundary conditions for integrable quantum systems

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On quantum group symmetry and Bethe ansatz for the asymmetric twin spin chain with integrable boundary

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\(C_n^{(1)}\), \(D_n^{(1)}\) and \(A_{2n-1}^{(2)}\) reflection \(K\)-matrices

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One-boundary Temperley–Lieb algebras in the XXZ and loop models

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Refined Razumov–Stroganov conjectures for open boundaries

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Magic in the spectra of the \(XXZ\) quantum chain with boundaries at \(\Delta =0\) and \(\Delta = - 1/2\)

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The Kauffman polynomial of links and representation theory

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Nuclear Physics B

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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math-ph/0409060

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10.1016/J.NUCLPHYSB.2005.07.015

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Sitelinks

Mathematics(1 entry)

mardi Publication:876187

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