Generalised Hermite Constants, Voronoi Theory and Heights on Flag Varieties
Language
en
Article de revue
This item was published in
Bulletin de la société mathématique de France. 2009-01-01, vol. 137, n° 1, p. p 127-158
Société Mathématique de France
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Hermite constant
Voronoi theory
Origin
Hal imported