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

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dc.creatorSuzuki, Takeshi
dc.creatorVazirani, Monica
dc.date2004-06-30
dc.date2005-08-08
dc.date.accessioned2026-07-07T05:09:50Z
dc.date.available2026-07-07T05:09:50Z
dc.descriptionWe 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.
dc.description34 pages. In ver.2, the title is changed and some typos are corrected
dc.identifierhttps://arxiv.org/abs/math/0406617
dc.identifierhttp://arxiv.org/abs/math/0406617
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71732
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleTableaux on periodic skew diagrams and irreducible representations of the double affine Hecke algebra of type A
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