广义Hermite常数、Voronoi理论和旗簇的高度
Generalised Hermite Constants, Voronoi Theory and Heights on Flag Varieties
摘要:
本文研究了T。渡边为此,一个高度,这自然适用于旗品种,是建立和概念的完美和eutaxy特征的极值。最后,我们熟悉了一些关系式(如Korkine-Zolotareff约化),上界和与这些常数有关的计算。
英文摘要:
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.
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