Fixed points of zircon automorphisms

被引：4
|
作者：
Hultman, Axel [1 ]
机构：
[1] Kungliga Tekniska Hogskolan, Dept Math, SE-10044 Stockholm, Sweden
来源：
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 2008年 / 25卷 / 02期
关键词：
zircon; special matching; poset automorphism;
D O I：
10.1007/s11083-008-9080-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A zircon is a poset in which every principal order ideal is finite and equipped with a so-called special matching. We prove that the subposet induced by the fixed points of any automorphism of a zircon is itself a zircon. This provides a natural context in which to view recent results on Bruhat orders on twisted involutions in Coxeter groups.
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收藏
页码：85 / 90
页数：6
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