Crystal structure of level zero extremal weight modules

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dc.creatorBeck, Jonathan
dc.date2002-05-09
dc.date2002-12-20
dc.date.accessioned2026-07-07T04:48:23Z
dc.date.available2026-07-07T04:48:23Z
dc.descriptionWe consider the crystal structure of the level zero extremal weight modules $V(λ)$ using the crystal base of the quantum affine algebra constructed by Beck, Chari and Pressley. This approach yields an explicit form for the U^- extremal weight vectors in each connected component of the crystal of $V(λ)$, which are given as Schur functions in the imaginary root vectors. We use this fact to demonstrate Kashiwara's conjectures regarding the crystal structure of $V(λ)$.
dc.description8 pages, final version
dc.identifierhttps://arxiv.org/abs/math/0205095
dc.identifierhttp://arxiv.org/abs/math/0205095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64026
dc.subjectQuantum Algebra
dc.titleCrystal structure of level zero extremal weight modules
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