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Tame Automorphisms of Free Nilpotent Lie Algebras of Coun...
[Submitted on 19 Jun 2026] · 2026-06-23 · via math updates on arXiv.org

Mathematics > Rings and Algebras

arXiv:2606.21459 (math)

[Submitted on 19 Jun 2026]

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Abstract:Let $L_{\infty}$ be a free Lie algebra of countably infinite rank over a field of characteristic $0$ and let $L_{\infty, c}$ be the free nilpotent Lie algebra of countably infinite rank and class $c$. We prove that every automorphism of $L_{\infty, c}$ is induced by an automorphism of $L_{\infty}$.

Submission history

From: Constantinos Kofinas [view email]
[v1] Fri, 19 Jun 2026 14:14:44 UTC (12 KB)

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