Bispectral quantum Knizhnik-Zamolodchikov equations for arbitrary root systems
From MaRDI portal
Publication:621388
DOI10.1007/s00029-010-0039-6zbMath1211.81072arXiv0912.3784OpenAlexW2593277557MaRDI QIDQ621388
Publication date: 2 February 2011
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.3784
Hecke algebras and their representations (20C08) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie groups to the sciences; explicit representations (22E70) Groups and algebras in quantum theory and relations with integrable systems (81R12)
Related Items
Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions ⋮ One-dimensional nil-DAHA and Whittaker functions. I. ⋮ Connection coefficients for basic Harish-Chandra series ⋮ Connection problems for quantum affine KZ equations and integrable lattice models
Cites Work
- Quantum Knizhnik-Zamolodchikov equations and affine root systems
- Root systems and elliptic curves
- \(R\)-matrix arising from affine Hecke algebras and its application to Macdonald's difference operators
- Double affine Hecke algebras and difference Fourier transforms.
- Dynamical Weyl groups and applications
- Matrix elements of vertex operators of the deformed \(WA_n\)-algebra and the Harish-Chandra solutions to Macdonald's difference equations.
- Macdonald's polynomials and representations of quantum groups
- Induced representations of double affine Hecke algebras and applications
- Differential equations compatible with boundary rational qKZ equation
- Quantum Affine Knizhnik-Zamolodchikov Equations and Quantum Spherical Functions, I
- Macdonald difference operators and Harish-Chandra series
- Double Affine Hecke Algebras and Bispectral Quantum Knizhnik-Zamolodchikov Equations
- Unnamed Item
- Unnamed Item
- Unnamed Item