Generalised Hermite Constants, Voronoi Theory and Heights on Flag Varieties
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en
Article de revue
Este ítem está publicado en
Bulletin de la société mathématique de France. 2009-01-01, vol. 137, n° 1, p. p 127-158
Société Mathématique de France
Resumen en inglés
This 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 ...Leer más >
This 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.< Leer menos
Palabras clave en inglés
Hermite constant
Voronoi theory
Orígen
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