Automorphisms of the category of free Lie algebras

G. Mashevitzky; B. Plotkin; E. Plotkin

doi:10.1016/j.jalgebra.2003.09.038

Automorphisms of the category of free Lie algebras

G. Mashevitzky, B. Plotkin, E. Plotkin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

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 language	English
Pages (from-to)	490-512
Number of pages	23
Journal	Journal of Algebra
Volume	282
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2003.09.038
State	Published - 15 Dec 2004

Bibliographical note

Funding Information:
* Corresponding author. E-mail address: gmash@cs.bgu.ac.il (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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10.1016/j.jalgebra.2003.09.038

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Automorphisms of the category of free Lie algebras

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Bibliographical note

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