On the Strong Nilpotence Problem

• 作者: Xiaosong Sun
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 幂零性 多项式映射 齐次 N维 等价
• 年，卷（期）: 2014,（1）
• 页码范围: 117-128
• 页数: 12页
• 分类号: O153.3
• 语种: 中文

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.