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Analogues of Lusztig's higher order relations for the <i>q</i>-Onsager algebra - MaRDI portal

Analogues of Lusztig's higher order relations for the <i>q</i>-Onsager algebra (Q3189915)

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Language	Label	Description	Also known as
English	Analogues of Lusztig's higher order relations for the <i>q</i>-Onsager algebra	scientific article

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scholarly article

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Analogues of Lusztig's higher order relations for the <i>q</i>-Onsager algebra (English)

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Pascal Baseilhac

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Journal of Mathematical Physics

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publication date

12 September 2014

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full work available at URL

https://arxiv.org/abs/1312.3433

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zbMATH Keywords

\(q\)-Onsager algebra

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higher order relations

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MaRDI profile type

MaRDI publication profile

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Quantum loop subalgebra and eigenvectors of the superintegrable chiral Potts transfer matrices

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An integrable structure related with tridiagonal algebras

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Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. III: Eigenvectors of the transfer matrix and Hamiltonian.

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The central extension of the reflection equations and an analog of Miki’s formula

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Generalized \(q\)-Onsager algebras and boundary affine Toda field theories

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A new (in)finite-dimensional algebra for quantum integrable models

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A deformed analogue of Onsager’s symmetry in the XXZ open spin chain

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Exact spectrum of the XXZ open spin chain from the<i>q</i>-Onsager algebra representation theory

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A new current algebra and the reflection equation

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Higher order relations for ADE-type generalized \(q\)-Onsager algebras

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Factorizing particles on a half-line and root systems

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

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

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Quantum symmetric Kac-Moody pairs

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Introduction to quantum groups

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A classification of sharp tridiagonal pairs

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The shape of a tridiagonal pair.

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Tridiagonal pairs and the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\).

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Loop symmetry of integrable vertex models at roots of unity

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An algebraic derivation of the eigenspaces associated with an Ising-like spectrum of the superintegrable chiral Potts model

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Tridiagonal pairs of \(q\)-Racah type and the \(\mu \)-conjecture

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Spin chains and combinatorics

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Boundary conditions for integrable quantum systems

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TWO RELATIONS THAT GENERALIZE THE Q-SERRE RELATIONS AND THE DOLAN-GRADY RELATIONS

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Braid group action for the \(q\)-Onsager algebra

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Identifiers

zbMATH Open document ID

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10.1063/1.4892518

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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:3189915

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