Finite dimensional representations of rational Cherednik algebras
classification
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math.AGmath.QAmath.RA
keywords
cherednikcompleterationalrepresentationsaffinealgebraalgebrascharacter
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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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