Automorphisms of the category of free Lie algebras

G. Mashevitzky, B. Plotkin, E. Plotkin

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We prove that every automorphism of the category of free Lie algebras is a semi-inner automorphism. This solves Problem 3.9 from [G. Mashevitzky, B. Plotkin, E. Plotkin, Electron. Res. Announc. Amer. Math. Soc. 8 (2002) 1-10] for Lie algebras.

Original languageEnglish
Pages (from-to)490-512
Number of pages23
JournalJournal of Algebra
Issue number2
StatePublished - 15 Dec 2004

Bibliographical note

Funding Information:
* Corresponding author. E-mail address: (G. Mashevitzky). 1 This work is partially supported by the Emmy Noether Institute for Mathematics and the Minerva Foundation of Germany, by the Excellency Center of the Israel Science Foundation “Group Theoretic Methods in the Study of Algebraic Varieties” and by INTAS 00-566.


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