Level 0 Monomial crystals

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dc.creatorHernandez, David
dc.creatorNakajima, Hiraku
dc.date2006-06-08
dc.date.accessioned2026-07-07T07:17:03Z
dc.date.available2026-07-07T07:17:03Z
dc.descriptionWe study the monomial crystal defined by the second author. We show that each component of the monomial crystal can be embedded into a crystal of an extremal weight module introduced by Kashiwara. And we determine all monomials appearing in the components corresponding to all level 0 fundamental representations of quantum affine algebras except for some nodes of $E_6^{(2)}$, $E_7^{(1)}$, $E_8^{(1)}$. Thus we obtain explicit descriptions of the crystals in these examples. We also give those for the corresponding finite dimensional representations. For classical types, we give them in terms of tableaux. For exceptional types, we list up all monomials.
dc.description49 pages
dc.identifierhttps://arxiv.org/abs/math/0606174
dc.identifierhttp://arxiv.org/abs/math/0606174
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113804
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleLevel 0 Monomial crystals
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