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On the Strong Nilpotence Problem

On the Strong Nilpotence Problem
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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.
作者 Xiaosong Sun
出处 《Algebra Colloquium》 SCIE CSCD 2014年第1期117-128,共12页 代数集刊(英文版)
关键词 polynomial maps tame automorphisms strongly nilpotent linearly triangu-larizable polynomial maps, tame automorphisms, strongly nilpotent, linearly triangu-larizable
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