On the Strong Nilpotence Problem  

作　　者：Xiaosong Sun 

机构地区：[1]School of Mathematical Sciences, Peking University, Beijing 100871, China [2]School of Mathematics, Jilin' University, Changchun'130012, Ch'ina

出　　处：《Algebra Colloquium》2014年第1期117-128,共12页代数集刊（英文版）

摘　　要：In this paper, we describe the structure of quadratic homogeneous polynomial maps F = X ＋ H with JH3 = 0. As a consequence we show that in dimension n ≤ 6, JH is strongly nilpotent, or equivalently F = X ＋ H is linearly triangularizable.In this paper, we describe the structure of quadratic homogeneous polynomial maps F = X ＋ H with JH3 = 0. As a consequence we show that in dimension n ≤ 6, JH is strongly nilpotent, or equivalently F = X ＋ H is linearly triangularizable.

关 键 词：polynomial maps tame automorphisms strongly nilpotent linearly triangu-larizable 

分 类 号：O153.3[理学—数学] O155[理学—基础数学]