THE GALLERY DISTANCE OF FLAGS

被引：10
作者：
ABELS, H
机构：
[1] Fakultät für Mathematik, Universität Bielefeld, Bielefeld 1, D-4800
来源：
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 1991年 / 8卷 / 01期
关键词：
FLAG; CHAMBER; GALLERY DISTANCE; JORDAN-HOLDER PERMUTATION;
D O I：
10.1007/BF00385816
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An explicit formula for the gallery distance of two maximal flags in a vector space is given. The main tool of the proof is the Jordan-Holder permutation. The result and its proof hold more generally for any semimodular lattice of finite height and with minor changes also for the distance of two chambers in the Bruhat-Tits building of the general linear group.
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页码：77 / 92
页数：16
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