一类Reinhardt域D的全纯自同构群Aut(D)在原点的最大迷向子群  

The Biggest Isotropic Subgroup at the Origin of the Holomorphic Automorphism Aut(D) in the Reinhardt Domain D

作　　者：李晓燕[1] 

机构地区：[1]杭州电子科技大学理学院,浙江杭州230000

出　　处：《湖州师范学院学报》2012年第2期6-9,20,共5页Journal of Huzhou University

摘　　要：单位球和单位多圆柱的全纯自同构群很早就有了精确的结果.对一类特殊Reinhardt域D的全纯自同构群在原点的最大迷向子群的结构得到完整刻画,D={(z1,z2,z3)∈C3:z1+z2+z3p<1},其中,0<p≤2.Accurate results about holomorphic automorphism groups in the unit ball and in the unit polydisc were obtained long ago.This paper discusses the biggest isotropic subgroup's structure at the origin of the holomorphic automorphism group in the special Reinhardt domain D=(z1,z2,z3)∈C3∶|z1 |+|z 2|+|z3 |p<1},thereinto,0<p≤2.

关 键 词：REINHARDT域 全纯自同构群 迷向子群 

分 类 号：O152[理学—数学]