A survey of total positivity

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dc.creatorLusztig, G.
dc.date2007-05-25
dc.date.accessioned2026-07-07T08:03:17Z
dc.date.available2026-07-07T08:03:17Z
dc.descriptionWe survey the history of totally positive matrices and the generalization to Lie groups. We describe a reduction of a bilinear form to a canonical form (generalizing the case of symplectic nondegenerate forms) using ideas from total positivity; we also place this in a Lie group context. We give a short exposition of results of Fock and Goncharov on the study of homomorphisms of the fundamental group of a closed surface into a Lie group.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/0705.3842
dc.identifierhttp://arxiv.org/abs/0705.3842
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129521
dc.subjectRepresentation Theory
dc.titleA survey of total positivity
dc.typetext

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