Generalized double affine Hecke algebras, their representations, and higher Teichmüller theory

Cites Work

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A family of finite-dimensional representations of generalized double affine Hecke algebras of higher rank.
Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations
Isomonodromic deformations and twisted Yangians arising in Teichmüller theory
Embedding of the rank 1 DAHA into \(Mat(2,\mathbb{T}_q)\) and its automorphisms
Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces
Finite dimensional representations of the double affine Hecke algebra of rank 1.
The quantum dilogarithm and representations of quantum cluster varieties
The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem
Dual isomonodromic deformations and moment maps to loop algebras
Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
Nonsymmetric Koornwinder polynomials and duality
Killing and the Coxeter transformation of Kac-Moody algebras
A Kohno-Drinfeld theorem for quantum Weyl groups
Duality for Knizhnik-Zamolodchikov and dynamical equations
Quantised Painlevé monodromy manifolds, Sklyanin and Calabi-Yau algebras
Quantized multiplicative quiver varieties.
Middle convolution of Fuchsian systems and the construction of rigid differential systems
The relationship between Zhedanov's algebra \(AW(3)\) and the double affine Hecke algebra in the rank one case
Quantum cluster algebras.
Line operators in theories of class \( \mathcal{S} \), quantized moduli space of flat connections, and Toda field theory
Confluences of the Painlevé equations, Cherednik algebras and q-Askey scheme
On Stokes Matrices in terms of Connection Coefficients
Nonsymmetric Askey–Wilson polynomials as vector-valued polynomials
Generalized double affine Hecke algebras of higher rank
Painlevé Monodromy Manifolds, Decorated Character Varieties, and Cluster Algebras
From Klein to Painlevé via Fourier, Laplace and Jimbo
Rigid Local Systems. (AM-139)
Middle convolution and deformation for Fuchsian systems
Log-Canonical Coordinates for Symplectic Groupoid and Cluster Algebras
Stokes phenomena, Poisson-Lie groups and quantum groups

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