Generalized double affine Hecke algebras of higher rank

DOI10.1515/CRELLE.2006.091zbMath1130.20006arXivmath/0504089OpenAlexW2963673176MaRDI QIDQ3437812

Wee Liang Gan, Alexei Oblomkov, Pavel I. Etingof

Publication date: 10 May 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504089

zbMATH Keywords

KZ equationGan-Ginzburg algebrasmonodromy representationsdegenerate cyclotomic Hecke algebrasdegenerate generalized double affine Hecke algebrasrational generalized double affine Hecke algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05) Representations of quivers and partially ordered sets (16G20)

Related Items (10)

A family of finite-dimensional representations of generalized double affine Hecke algebras of higher rank. ⋮ On elliptic Dunkl operators ⋮ Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces ⋮ Quantum symmetric pairs and representations of double affine Hecke algebras of type \(C^\vee C_n\). ⋮ On character varieties with non-connected structure groups ⋮ Arithmetic harmonic analysis on character and quiver varieties ⋮ Representations of Gan-Ginzburg algebras. ⋮ Inozemtsev system as Seiberg-Witten integrable system ⋮ A Lie-theoretic construction of spherical symplectic reflection algebras ⋮ Multivariable Wilson polynomials and degenerate Hecke algebras

Cites Work

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• Indecomposable parabolic bundles and the existence of matrices in prescribed conjugacy class closures with product equal to the identity
• Deformed preprojective algebras and symplectic reflection algebras for wreath products.
• Nonsymmetric Koornwinder polynomials and duality
• Noncommutative deformations of Kleinian singularities

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