Yangian double

DOI10.1007/BF00714404zbMath0860.17017OpenAlexW4248375527MaRDI QIDQ1912761

Sergey M. Khoroshkin, Valeriy N. Tolstoy

Publication date: 6 May 1997

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

Full work available at URL: https://doi.org/10.1007/bf00714404

zbMATH Keywords

Yang-Baxter equationuniversal enveloping algebra\(R\)-matrixquantum affine algebraquantum doubleYangian double

Mathematics Subject Classification ID

Related Items (45)

On Hopf algebraic structures of quantum toroidal algebras ⋮ Simplicity of spectra for Bethe subalgebras in \(\mathrm{Y}(\mathfrak{gl}_2)\) ⋮ ℏ (YANGIAN) DEFORMATION OF THE MIURA MAP AND VIRASORO ALGEBRA ⋮ Free boson representation of DYℏ(glN)k and DYℏ(slN)k ⋮ Unnamed Item ⋮ On Baxter \({\mathcal Q}\)-operators and their arithmetic implications ⋮ Matrix factorization for solutions of the Yang-Baxter equation ⋮ On the massless modes of the \(\mathrm{AdS}_3/\mathrm{CFT}_2\) integrable systems ⋮ Rational Lax matrices from antidominantly shifted extended Yangians: BCD types ⋮ Twisted Yangians, Drinfeld approach ⋮ Commutative operators for double Yangian DY(sln) ⋮ Exact \(S\)-matrices with affine quantum group symmetry ⋮ Meromorphic tensor equivalence for Yangians and quantum loop algebras ⋮ Liouville reflection operator, affine Yangian and Bethe ansatz ⋮ A central extension of \(DY_{\hbar}(\mathfrak{gl}_ 2)\) ⋮ Universal \(R\)-matrix of quantum affine \(\mathfrak{gl}(1,1)\) ⋮ The Hopf superalgebra of AdS/CFT ⋮ Bethe vectors for orthogonal integrable models ⋮ Yangians and Baxter's relations ⋮ Comultiplication for shifted Yangians and quantum open Toda lattice ⋮ Review of AdS/CFT integrability. Chapter VI.2: Yangian algebra ⋮ Intertwining operators for the central extension of the Yangian double. ⋮ Yangian doubles of classical types and their vertex representations ⋮ Modules-at-infinity for quantum vertex algebras ⋮ Cohomological Hall algebras and affine quantum groups ⋮ Deformation of YangianY(sl₂) ⋮ On a class of representations of the Yangian and moduli space of monopoles ⋮ On Drinfeld's second realization of the AdS/CFT \(\mathfrak{su}(2|2)\) Yangian ⋮ \({\hslash}\)-adic quantum vertex algebras and their modules ⋮ The Yangian double of the Lie superalgebra \(A(m,n)\) ⋮ The bound state S-matrix for \(AdS_{5}\times S^{5}\) superstring ⋮ Homomorphisms between different quantum toroidal and affine Yangian algebras ⋮ The all-loop integrable spin-chain for strings on \(\mathrm{AdS}_3\times S^3\times T^4\): the massive sector ⋮ The classical \(r\)-matrix of AdS/CFT and its Lie bialgebra structure ⋮ Double Yangian and the universal \(R\)-matrix ⋮ Zamolodchikov-Faddeev algebras for Yangian doubles at level 1 ⋮ Vertex representations for Yangians of Kac-Moody algebras ⋮ The Cartan-Weyl basis for the Yangian double \(DY(sl_3)\) ⋮ On the calculation of the correlation functions of the $ \newcommand{\slt}{\mathfrak{sl}_2} \newcommand{\sltr}{\mathfrak{sl}_3} \sltr$ -model by means of the reduced qKZ equation ⋮ The algebra \({\mathcal A}_{\hbar,\eta}(\hat g)\) and infinite Hopf family of algebras ⋮ The meromorphic \(R\)-matrix of the Yangian ⋮ A nested sequence of projectors and corresponding braid matrices R̂(θ). 1. Odd dimensions ⋮ On factorising twists in \(AdS_3\) and \(AdS_2\) ⋮ Poles of finite-dimensional representations of Yangians ⋮ Multi-parametric R-matrix for the $\mathfrak {sl}(2|1)$sl(2|1) Yangian

Cites Work

• Unnamed Item
• Central extensions of quantum current groups
• On Drinfeld's realization of quantum affine algebras
• An analogue of P.B.W. theorem and the universal R-matrix for \(U_ h\mathfrak{sl}(N+1)\)
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A new interpretation of Gelfand-Tsetlin bases
• Universal \(R\)-matrix for quantized (super)algebras
• Quantum affine algebras and holonomic difference equations
• Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\)
• Yangians and Gelfand-Zetlin bases
• The quantum double in integrable quantum field theory
• DYNAMICAL SYMMETRIES OF MASSIVE INTEGRABLE MODELS 1: FORM FACTOR BOOTSTRAP EQUATIONS AS A SPECIAL CASE OF DEFORMED KNIZHNIK-ZAMOLODCHIKOV EQUATIONS

This page was built for publication: Yangian double