Universal vertex-IRF transformation for quantum affine algebras
From MaRDI portal
Publication:2872331
DOI10.1063/1.4754699zbMath1332.17013arXiv0707.0955OpenAlexW2964001489MaRDI QIDQ2872331
E. Buffenoir, Philippe Roche, Véronique Terras
Publication date: 14 January 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.0955
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Vertex operators; vertex operator algebras and related structures (17B69) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Yang-Baxter equations (16T25)
Related Items
A new dynamical reflection algebra and related quantum integrable systems ⋮ Dynamical centers for the elliptic quantum algebra $ \newcommand{\elpb}[1{{{\mathcal{B}}_{q,\lambda}(\widehat{gl}_{#1})_c}} \newcommand{\e}{{\rm e}} \elpb{2}$] ⋮ Elliptic quantum group \(U_{q,p}(\widehat{\mathfrak{sl}}_2)\), Hopf algebroid structure and elliptic hypergeometric series ⋮ Scalar products of Bethe vectors in the 8-vertex model
Cites Work
- Unnamed Item
- Classical r-matrix and exchange algebra in WZNW and Toda theories
- Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
- Solvable lattice models whose states are dominant integral weights of \(A^{(1)}_{n-1}\)
- Solvable lattice models related to the vector representation of classical simple Lie algebras
- Universal solutions of quantum dynamical Yang-Baxter equations
- On classification of dynamical \(r\)-matrices
- Universal exchange algebra for Bloch waves and Liouville theory
- Universal \(R\)-matrix for quantized (super)algebras
- Geometry and classification of solutions of the classical dynamical Yang-Baxter equation
- Convex bases of PBW type for quantum affine algebras
- Dynamical symmetry of integrable quantum systems
- Exchange dynamical quantum groups
- Algebraic Bethe ansatz for the elliptic quantum group \(E_{\tau,\eta} (sl_2\))
- Quantum deformation of Whittaker modules and the Toda lattice.
- Traces of intertwiners for quantum groups and difference equations
- Quasi-Hopf twistors for elliptic quantum groups
- Quantum dynamical coboundary equation for finite dimensional simple Lie algebras
- GENERALIZED GAUSS DECOMPOSITION OF TRIGONOMETRIC R-MATRICES
- La R-matrice pour les algèbres quantiques de type affine non tordu1
- Explicit quantization of dynamical r-matrices for finite dimensional semisimple Lie algebras
- Vertex-IRF transformations and quantization of dynamical \(r\)-matrices
- Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II: Equivalence to a generalized ice-type lattice model.
