Finite dimensional representations of rational Cherednik algebras

Mathematics – Representation Theory

Scientific paper

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29 pp., LaTeX. Exposition improved, some details added

Scientific paper

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.

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