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INTRODUCTION TO QUANTUM INTEGRABILITY - MaRDI portal

INTRODUCTION TO QUANTUM INTEGRABILITY (Q3583185)

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Language	Label	Description	Also known as
English	INTRODUCTION TO QUANTUM INTEGRABILITY	scientific article

Statements

scholarly article

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INTRODUCTION TO QUANTUM INTEGRABILITY (English)

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Anastasia Doikou

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Stefano Evangelisti

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Giovanni Feverati

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Nikos Karaiskos

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International Journal of Modern Physics A

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publication date

26 August 2010

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full work available at URL

https://arxiv.org/abs/0912.3350

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zbMATH Keywords

quantum integrability

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quantum algebras

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braid groups

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quantum spin chains

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Bethe ansatz

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MaRDI profile type

MaRDI publication profile

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Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model

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ALGEBRAIC ASPECTS OF THE BETHE ANSATZ

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A SPIN CHAIN PRIMER

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Partition function of the eight-vertex lattice model

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Representations of Coxeter groups and Hecke algebras

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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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A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation

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

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Boundary conditions for integrable quantum systems

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Factorizing particles on a half-line and root systems

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

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Hecke algebra solutions to the reflection equation

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A diagrammatic approach to Hecke algebras of the reflection equation

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

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

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INTEGRABILITY OF OPEN SPIN CHAINS WITH QUANTUM ALGEBRA SYMMETRY

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Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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AN INTRODUCTION TO YANGIAN SYMMETRIES

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Irreducible representations of the quantum analogue of SU(2)

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Connections of the Liouville model and \(XXZ\) spin chain

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Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman

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Algebraic structures related to reflection equations

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BOUNDARY S MATRIX AND BOUNDARY STATE IN TWO-DIMENSIONAL INTEGRABLE QUANTUM FIELD THEORY

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

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From affine Hecke algebras to boundary symmetries

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

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Yang-Baxter symmetry in integrable models: New light from the Bethe ansatz solution

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Bulk and boundary \(S\)-matrices for the \(\text{SU}(N)\) chain.

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

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On reflection algebras and twisted Yangians

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Contracted and expanded integrable structures

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Identifiers

zbMATH Open document ID

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10.1142/S0217751X10049803

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3583185

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