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

DOI10.1063/1.5133854zbMath1439.81062arXiv1903.00204OpenAlexW2918895747MaRDI QIDQ5110760

Naihuan Jing, Ming Liu, Alexander I. Molev

Publication date: 22 May 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.00204

zbMATH Keywords

Yang-Baxter equationpower seriesLie algebrasrepresentation theoryassociative algebraabstract algebraalgebraic structuresfunctions and mappings

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) Yang-Baxter equations (16T25)

Related Items (13)

Rational Lax matrices from antidominantly shifted extended Yangians: BCD types ⋮ Isomorphism between the \(R\)-matrix and Drinfeld presentations of quantum affine algebra: types \(B\) and \(D\) ⋮ \(R\)-matrix presentation of quantum affine algebra in type \(A_{2n-1}^{(2)}\) ⋮ Quantum affine vertex algebras associated to untwisted quantum affinization algebras ⋮ The \(R\)-matrix presentation for the rational form of a quantized enveloping algebra ⋮ Gauss coordinates vs currents for the Yangian doubles of the classical types ⋮ The alternating presentation of \(U_q(\widehat{gl_2})\) from Freidel-Maillet algebras ⋮ Representations of quantum affine algebras in their \(R\)-matrix realization ⋮ Algebraic Bethe ansatz for \(\mathfrak{o}_{2n+1}\)-invariant integrable models ⋮ On the second realization for the positive part of \(U_q (\widehat{sl_2})\) of equitable type ⋮ Freidel-Maillet type presentations of \(U_q(sl_2)\) ⋮ R-matrix formulation of affine Yangian of \(\widehat{\mathfrak{gl}}(1|1)\) ⋮ h-adic quantum vertex algebras in types B, C, D and their ϕ-coordinated modules

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