The classification of convex orders on affine root systems

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dc.creatorIto, Ken
dc.date1999-12-02
dc.date2000-05-26
dc.date.accessioned2026-07-07T05:32:06Z
dc.date.available2026-07-07T05:32:06Z
dc.descriptionWe classify all total orders having a certain convex property on the positive root system of an arbitrary untwisted affine Lie algebra ${\frak g}$. Such total orders are called convex orders and are used to construct convex bases of Poincaré-Birkhoff-Witt type of the upper triangular subalgebra $U_q^+$ of the quantized enveloping algebra $U_q({\frak g})$.
dc.description30pages, AMS-LaTeX
dc.identifierhttps://arxiv.org/abs/math/9912020
dc.identifierhttp://arxiv.org/abs/math/9912020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79536
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleThe classification of convex orders on affine root systems
dc.typetext

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