Generalised Hermite Constants, Voronoi Theory and Heights on Flag Varieties

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dc.creatorMeyer, Bertrand
dc.date2008-04-02
dc.date.accessioned2026-07-07T12:18:03Z
dc.date.available2026-07-07T12:18:03Z
dc.descriptionThis paper explores the study of the general Hermite constant associated to the general linear group and its irreducible representations, as defined by T. Watanabe. To that end, a height, which naturally applies to flag varieties, is built and notions of perfection and eutaxy characterising extremality are introduced. Finally we acquaint some relations (e.g. with Korkine--Zolotareff reduction), upper bounds and computation relative to these constants.
dc.identifierhttps://arxiv.org/abs/0804.0292
dc.identifierhttp://arxiv.org/abs/0804.0292
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212278
dc.subjectNumber Theory
dc.titleGeneralised Hermite Constants, Voronoi Theory and Heights on Flag Varieties
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