Total positivity in the De Concini-Procesi compactification

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dc.creatorHe, Xuhua
dc.date2003-10-02
dc.date2004-03-11
dc.date.accessioned2026-07-07T05:01:35Z
dc.date.available2026-07-07T05:01:35Z
dc.descriptionWe study the nonnegative part \bar{G_{>0}} of the De Concini-Procesi compactification of a reductive algebraic group G, as defined by Lusztig. Using positivity properties of the canonical basis and parametrization of flag varieties, we will give an explicit description of \bar{G_{>0}}. This answers the question of Lusztig in [L4]. We will also prove that \bar{G_{>0}} has a cell decomposition which was conjectured by Lusztig.
dc.description23 pages. Some corrections. References updated
dc.identifierhttps://arxiv.org/abs/math/0310031
dc.identifierhttp://arxiv.org/abs/math/0310031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68727
dc.subjectRepresentation Theory
dc.subject20G20; 14M15
dc.titleTotal positivity in the De Concini-Procesi compactification
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