Finite dimensional representations of rational Cherednik algebras

Abstract

A complete classification and character formulas for finite-dimensional irreducible representations of the rational Cherednik algebra of type A is given. Less complete results for other types are obtained. Links to the geometry of affine flag manifolds and Hilbert schemes are discussed.

arXiv comment29 pp., LaTeX. Exposition improved, some details added

References in corpus (3)

• Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
• On the quotient ring by diagonal harmonics
• From Double Hecke algebra to Fourier transform

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