论某些自由零能旁阿贝尔李代数的自形性

IF 0.5 2区数学 Q3 MATHEMATICS International Journal of Algebra and Computation Pub Date : 2024-04-03 DOI:10.1142/s0218196724500097

C. E. Kofinas, A. I. Papistas

引用次数: 0

摘要

对于正整数 n≥4，设 Rn 是秩为 n 的自由（2 类无势）旁阿贝尔和旁无边际（2 类无势）的李代数。我们证明，就形式幂级数拓扑而言，由 Rn 的驯服自形和一组可数无限的明给自形生成的 Aut(Rn) 子群在 Aut(Rn) 中是密集的。

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On automorphisms of certain free nilpotent-by-abelian Lie algebras

For a positive integer $n \geq 4$ , 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.

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来源期刊

International Journal of Algebra and Computation 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.