Finite dimensional representations of the double affine Hecke algebra of rank 1.

DOI10.1016/J.JPAA.2008.09.004zbMath1161.20004arXivmath/0409256OpenAlexW2593415963MaRDI QIDQ1004480

J. Martínez

Publication date: 10 March 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409256

zbMATH Keywords

finite-dimensional irreducible representationsdouble affine Hecke algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08)

Related Items (7)

DAHA-Jones polynomials of torus knots ⋮ Finite-dimensional irreducible modules of the universal DAHA of type (C₁^∨,C₁) ⋮ Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces ⋮ Dual polar graphs, a nil-DAHA of rank one, and non-symmetric dual \(q\)-Krawtchouk polynomials ⋮ Finite-dimensional modules of the universal Askey-Wilson algebra and DAHA of type \((C_1^\vee ,C_1)\) ⋮ Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle ⋮ On the genus two skein algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• Indecomposable parabolic bundles and the existence of matrices in prescribed conjugacy class closures with product equal to the identity
• Nonsymmetric Koornwinder polynomials and duality
• Macdonald's evaluation conjectures and difference Fourier transform

This page was built for publication: Finite dimensional representations of the double affine Hecke algebra of rank 1.