On automorphisms of flag spaces

被引：0
|
作者：
Havlicek, H
List, K
Zanella, C
机构：
[1] Vienna Tech Univ, Inst Geometrie, A-1040 Vienna, Austria
[2] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy
来源：
LINEAR & MULTILINEAR ALGEBRA | 2002年 / 50卷 / 03期
关键词：
flag space; partial linear space; flag variety; Plucker transformation;
D O I：
10.1080/03081080290025444
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the automorphisms of the flag space associated with a 3-dimensional projective space can be characterized as bijections preserving a certain binary relation on the set of flags in both directions. From this we derive that there are no other automorphisms of the flag space than those coming from collineations and dualities of the underlying projective space. Further, for a commutative ground field, we discuss the corresponding flag variety and characterize its group of automorphic collineations.
引用
收藏
页码：241 / 251
页数：11
相关论文
共 50 条
12345