论文标题
关于某些免费的nilpotent by-Abelian Lie代数的自动形态学
On automorphisms of certain free nilpotent-by-abelian Lie algebras
论文作者
论文摘要
对于一个正整数$ n $，带有$ n \ geq 4 $，让$ r_ {n} $是免费的（2级的nilpotent）by-abelian和by-abelian-by-by-by-（2类Nilpotent）lie代数$ n $。我们表明，由tame automorthisms生成的自动$（r_ {n}）$的亚组和一组无限的无限无限的明确给定的$ r_ {n} $的自动形态是在aut $（r_ {n}）中密集的，与正式的电力系列有关。
For a positive integer $n$, with $n \geq 4$, let $R_{n}$ be a free (nilpotent of class 2)-by-abelian and abelian-by-(nilpotent of class 2) Lie algebra of rank $n$. We show that the subgroup of Aut$(R_{n})$ generated by the tame automorphisms and a countably infinite set of explicitly given automorphisms of $R_{n}$ is dense in Aut$(R_{n})$ with respect to the formal power series topology.
