Elliptic quantum group \(U_{q,p}(\widehat{\mathfrak{sl}}_2)\), Hopf algebroid structure and elliptic hypergeometric series
DOI10.1016/j.geomphys.2009.07.012zbMath1210.17023arXiv0803.2292OpenAlexW1495724627MaRDI QIDQ1034209
Publication date: 11 November 2009
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0803.2292
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Vertex operators; vertex operator algebras and related structures (17B69) Coalgebras and comodules; corings (16T15)
Related Items (5)
Cites Work
- Central extensions of quantum current groups
- On representations of the elliptic quantum group \(E_ \tau,\eta(sl_ 2)\)
- Duality and self-duality for dynamical quantum groups
- Yangians and R-matrices
- Pairings and actions for dynamical quantum groups
- Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center
- The vertex-face correspondence and correlation functions of the fusion eight-vertex model. I: The general formalism
- Askey-Wilson polynomials and the quantum group \(SU_ q(2)\)
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- Universal exchange algebra for Bloch waves and Liouville theory
- Quantum affine algebras
- Elliptic algebra \(U_{q,p} (\widehat {\mathfrak {sl}}_2)\): Drinfeld currents and vertex operators
- Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups
- An elliptic algebra \(U_{q,p}(\widehat{\text{sl}_2})\) and the fusion RSOS model
- Elliptic quantum groups \(E_{\tau,\eta}({\mathfrak sl}_2)\) and quasi-Hopf algebras
- Rational surfaces associated with affine root systems and geometry of the Painlevé equations
- Quasi-Hopf deformations of quantum groups
- The elliptic algebra \(U_{q,p}(\widehat{\mathfrak{sl}}_N)\) and the Drinfeld realization of the elliptic quantum group \(\mathcal B_{q,\lambda}(\widehat{\mathfrak{sl}}_N)\).
- Elliptic U(2) quantum group and elliptic hypergeometric series
- Vertex-IRF transformations, dynamical quantum groups and harmonic analysis
- Exchange dynamical quantum groups
- A quasi-Hopf algebra interpretation of quantum \(3\)-\(j\) and \(6\)-\(j\) symbols and difference equations
- A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
- Quantum \({\mathcal W}\)-algebras and elliptic algebras
- Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials
- Quasi-Hopf twistors for elliptic quantum groups
- Spectral transformation chains and some new biorthogonal rational functions
- Dynamical \(\mathcal R\) matrices of elliptic quantum groups and connection matrices for the \(q\)-KZ equations
- Classical elliptic current algebras. I.
- The vertex-face correspondence and the elliptic \(6j\)-symbols
- Universal vertex-IRF transformation for quantum affine algebras
- Elliptic quantum group U_{q\hbox{\scriptsize \bf,\,} p}(\widehat{{\mathfrak {sl}}}_2) and vertex operators
- Orthogonal Functions from Gram Determinants
- Towards a cladistics of double Yangians and elliptic algebras*
- 10E9solution to the elliptic Painlev equation
- The Drinfeld realization of the elliptic quantum group Bq,λ(A2(2))
- HOPF ALGEBROIDS AND QUANTUM GROUPOIDS
- Quantum groupoids
- Harmonic analysis on the \(\text{SU}(2)\) dynamical quantum group
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Elliptic quantum group \(U_{q,p}(\widehat{\mathfrak{sl}}_2)\), Hopf algebroid structure and elliptic hypergeometric series
