Tropical R maps and Affine Geometric Crystals

Simple item page
dc.creatorKashiwara, Masaki
dc.creatorNakashima, Toshiki
dc.creatorOkado, Masato
dc.date2008-08-18
dc.date.accessioned2026-07-07T09:57:09Z
dc.date.available2026-07-07T09:57:09Z
dc.descriptionBy modifying the method in [KNO], certain affine geometric crystals are realized in affinization of the fundamental representation $W(\varpi_1)_l$ and the tropical R maps for the affine geometric crystals are described explicitly. We also define prehomogeneous geometric crystals and show that for a positive geometric crystal, the connectedness of the corresponding ultra-discretized crystal is the sufficient condition for prehomogeneity of the positive geometric crystal. Moreover, the uniqueness of tropical R maps is discussed.
dc.description53 pages
dc.identifierhttps://arxiv.org/abs/0808.2411
dc.identifierhttp://arxiv.org/abs/0808.2411
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167238
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B37; 17B67
dc.titleTropical R maps and Affine Geometric Crystals
dc.typetext

Files

Collections

arXiv