Macdonald Duality and the proof of the Quantum Q-system conjecture
P Di Francesco, R Kedem - Selecta Mathematica, 2024 - Springer
Abstract The SL (2, Z)-symmetry of Cherednik's spherical double affine Hecke algebras in
Macdonald theory includes a distinguished generator which acts as a discrete time evolution …
Macdonald theory includes a distinguished generator which acts as a discrete time evolution …
Generalized B\" acklund-Darboux transformations for Coxeter-Toda systems on simple Lie groups
MS Lin - arXiv preprint arXiv:2410.17568, 2024 - arxiv.org
We derive the cluster structure on the conjugation quotient Coxeter double Bruhat cells of a
simple Lie group from that on the double Bruhat cells of the corresponding adjoint Lie group …
simple Lie group from that on the double Bruhat cells of the corresponding adjoint Lie group …