Finite dimensional representations of rational Cherednik algebras

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

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Representation Theory, Algebraic Geometry, Quantum Algebra, Rings and Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/64738

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0208138
 http://arxiv.org/abs/math/0208138

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arXiv