Tableaux on periodic skew diagrams and irreducible representations of the double affine Hecke algebra of type A

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We introduce and study an affine analogue of skew Young diagrams and tableaux on them. It turns out that the double affine Hecke algebra of type $A$ acts on the space spanned by standard tableaux on each diagram. It is shown that the modules obtained this way are irreducible, and they exhaust all irreducible modules of a certain class over the double affine Hecke algebra. In particular, the classification of irreducible modules of this class, announced by Cherednik, is recovered.
34 pages. In ver.2, the title is changed and some typos are corrected

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Quantum Algebra, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/71732

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406617
 http://arxiv.org/abs/math/0406617

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arXiv