Symmetric Crystals and LLTA Type Conjectures for the Affine Hecke Algebras of Type B

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dc.creatorEnomoto, Naoya
dc.creatorKashiwara, Masaki
dc.date2007-05-27
dc.date.accessioned2026-07-07T08:03:21Z
dc.date.available2026-07-07T08:03:21Z
dc.descriptionIn the previous paper "Symmetric Crystals and Affine Hecke Algebras of Type B", we formulated a conjecture on the relations between certain classes of irreducible representations of affine Hecke algebras of type B and symmetric crystals for $\gl_\infty$. In the first half of this paper (sections 2 and 3), we give a survey of the LLTA type theorem of the affine Hecke algebra of type $A$. In the latter half (sections 4, 5 and 6), we review the construction of the symmetric crystals and the LLTA type conjectures for the affine Hecke algebra of type $B$.
dc.description20pages
dc.identifierhttps://arxiv.org/abs/0705.3938
dc.identifierhttp://arxiv.org/abs/0705.3938
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129546
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.titleSymmetric Crystals and LLTA Type Conjectures for the Affine Hecke Algebras of Type B
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