A NOTE ON A STRUCTURE THEOREM FOR PREHOMOGENEOUS VECTOR SPACES

被引：0
|
作者：
Ouchi, Masaya [1 ,2 ]
机构：
[1] Akita Univ, Fac Educ, Akita 0108502, Japan
[2] Akita Univ, Human Studies Course, Akita 0108502, Japan
来源：
FIXED POINT THEORY | 2019年 / 20卷 / 01期
关键词：
Prehomogeneous vector space; representation theory of groups; fixed point; CLASSIFICATION;
D O I：
10.24193/fpt-ro.2019.1.18
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we give a structure theorem for all prehomogeneous vector spaces defined over the complex number field C. Also it means a necessary and sufficient condition for a triplet (G, rho, V) defined over C to be a prehomogeneous vector space. For this purpose, we give a general structural correspondence between isotropy subgroups and fixed point sets when a group acts on a non-empty set.
引用
收藏
页码：271 / 287
页数：17
相关论文
共 50 条
12345