Freidel-Maillet type presentations of \(U_q(sl_2)\) (Q2075579)

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scientific article

Language	Label	Description	Also known as
English	Freidel-Maillet type presentations of \(U_q(sl_2)\)	scientific article

Statements

scholarly article

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Freidel-Maillet type presentations of \(U_q(sl_2)\) (English)

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publication date

14 February 2022

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full work available at URL

https://arxiv.org/abs/2106.11715

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MaRDI profile type

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Leonard pairs associated with the equitable generators of the quantum algebra<i>U</i><sub><i>q</i></sub>(<i>sl</i><sub>2</sub>)

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Universal K-matrices for quantum Kac-Moody algebras

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Deformed Dolan-Grady relations in quantum integrable models

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The alternating presentation of \(U_q(\widehat{gl_2})\) from Freidel-Maillet algebras

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The algebra \(U_q(\mathfrak{sl}_2)\) in disguise

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Universal K-matrix for quantum symmetric pairs

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A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs

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Factorizing particles on a half-line and root systems

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

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INTRODUCTION TO QUANTUM INTEGRABILITY

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On a universal solution to the reflection equation

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Connected quantized Weyl algebras and quantum cluster algebras

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Quadratic algebras and integrable systems

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The Hopf algebra \(\text{Rep\,} U_q \widehat{\mathfrak g\mathfrak l}_\infty\)

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A braided Yang–Baxter algebra in a theory of two coupled lattice quantum KdV: algebraic properties and ABA representations

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BIDIAGONAL PAIRS, THE LIE ALGEBRA 𝔰𝔩<sub>2</sub>, AND THE QUANTUM GROUP U<sub>q</sub>(𝔰𝔩<sub>2</sub>)

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Generalized algebraic framework for open spin chains

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Leonard Pairs and Leonard Triples of<i>q</i>-Racah Type from the Quantum Algebra<i>U</i><sub><i>q</i></sub>(<i>sl</i><sub>2</sub>)

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Quantum integrability of non-ultralocal models through Baxterization of quantized braided algebra

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Right Coideal Subalgebras of the Borel Part of a Quantized Enveloping Algebra

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The quantum algebra \(U_q(\mathfrak{sl}_2)\) and its equitable presentation

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Evaluation modules for the \(q\)-tetrahedron algebra

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

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

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Isomorphism between the <i>R</i>-matrix and Drinfeld presentations of quantum affine algebra: Type <i>C</i>

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Isomorphism between the \(R\)-matrix and Drinfeld presentations of quantum affine algebra: types \(B\) and \(D\)

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Quantum symmetric pairs and the reflection equation

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Quantum symmetric Kac-Moody pairs

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Braided module categories via quantum symmetric pairs

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Reflection equation algebras, coideal subalgebras, and their centres

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Algebraic structures related to reflection equations

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Exact Bethe ansatz solution of non-ultralocal quantum mKdV model

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Symmetric pairs for quantized enveloping algebras

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A family of new Borel subalgebras of quantum groups

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The equitable presentation for the quantum group νq(<i>sl</i>2)

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On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system

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COIDEAL SUBALGEBRAS IN QUANTUM AFFINE ALGEBRAS

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Linear transformations that are tridiagonal with respect to the three decompositions for an LR triple

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Multiparameter quantum groups and twisted quasitriangular Hopf algebras

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Central extensions of quantum current groups

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Leonard pairs and quantum algebra \(U_q(sl_{2})\)

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Boundary conditions for integrable quantum systems

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Introduction to the Algebraic Bethe Ansatz

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Two relations that generalize the \(q\)-Serre relations and the Dolan-Grady relations.

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The equitable presentation for the quantum group associated with a symmetrizable Kac-Moody algebra

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Finite-dimensional irreducible \(U_q(\mathfrak{sl}_2)\)-modules from the equitable point of view

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The universal Askey-Wilson algebra and the equitable presentation of \(U_{q}(sl_{2})\)

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Billiard arrays and finite-dimensional irreducible \(U_q(\mathfrak{sl}_2)\)-modules

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Lowering-raising triples and \(U_q(\mathfrak{sl}_2)\)

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The Lusztig automorphism of Uq(𝔰𝔩2) from the equitable point of view

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Using Catalan words and a \(q\)-shuffle algebra to describe a PBW basis for the positive part of \(U_q(\widehat{\mathfrak{sl}}_2)\)

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Tridiagonal pairs of \(q\)-Racah-type and the \(q\)-tetrahedron algebra

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The alternating central extension of the \(q\)-Onsager algebra

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Some \(q\)-exponential formulas for finite-dimensional \(\square_q\)-modules

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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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10.1016/J.NUCLPHYSB.2022.115682

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Sitelinks

Mathematics(1 entry)

mardi Publication:2075579

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