19 citations · 58 across the 13 of their papers we have counts for
16 papers
Ruijsenaars wavefunctions as modular group matrix coefficients
Philippe Di Francesco, Rinat Kedem, Sergey Khoroshkin +2
We give a description of the Hallnäs--Ruijsenaars eigenfunctions of the 2-particle hyperbolic Ruijsenaars system as matrix coefficients for the order 4 element $S\in SL(2,\mathbb{Z…
Quantum decorated character stacks
David Jordan, Ian Le, Gus Schrader +1
We initiate the study of decorated character stacks and their quantizations using the framework of stratified factorization homology. We thereby extend the construction by Fock and…
-theoretic Coulomb branches of quiver gauge theories and cluster varieties
Gus Schrader, Alexander Shapiro
For a quiver without 1-cycles, we show that the Braverman--Finkelberg--Najakima quantized -theoretic Coulomb branch algebra of the corresponding quiver gauge…
On -Whittaker functions
Gus Schrader, Alexander Shapiro
The -Whittaker functions are eigenfunctions of the modular -deformed open Toda system introduced by Kharchev, Lebedev, and Semenov-Tian-Shansky. Using the q…
Continuous tensor categories from quantum groups I: algebraic aspects
Gus Schrader, Alexander Shapiro
We describe the algebraic ingredients of a proof of the conjecture of Frenkel and Ip that the category of positive representations of the quantum group $U_q(\mathfr…
A cluster realization of from quantum character varieties
Gus Schrader, Alexander Shapiro
We construct an injective algebra homomorphism of the quantum group into a quantum cluster algebra associated to the moduli space of frame…