Ultra-discretization of the G^(1)_2-Geometric Crystals to the D^(3)_4-Perfect Crystals

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dc.creatorNakashima, Toshiki
dc.date2007-12-23
dc.date.accessioned2026-07-07T08:51:09Z
dc.date.available2026-07-07T08:51:09Z
dc.descriptionWe obtain the affirmative answer to the conjecture in [15]. More precisely, let X be the affine geometric crystal of type G^(1)_2 in [15] and UD(X,T,θ) a ultra-discretization of X with respect to a certain positive structure θ. Then we show that UD(X,T,θ) is isomorphic to the limit of coherent family of perfect crystals of type D^(3)_4 in [7].
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0712.3894
dc.identifierhttp://arxiv.org/abs/0712.3894
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144836
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B37; 17B67
dc.titleUltra-discretization of the G^(1)_2-Geometric Crystals to the D^(3)_4-Perfect Crystals
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