Geodesic
Automorphisms of Free Nilpotent Lie Algebras
Canadian journal of mathematics, Tome 42 (1990) no. 2, pp. 259-279

Voir la notice de l'article provenant de la source Cambridge University Press

Let Fm be the free Lie algebra of rank m over a field K of characteristic 0 freely generated by the set {x1,... ,xm}, m ≧ 2. Cohn [7] proved that the automorphism group Aut Fm of the K-algebra Fm is generated by the following automorphisms: (i) automorphisms which are induced by the action of the general linear group GLm (= GLm(K)) on the subspace of Fm spanned by {x1, ... ,xm}; (ii) automorphisms of the form x1 → x1 +f(x2,... ,xm),Xk → xk, k ≠ 1, where the polynomial f(x2,...,xm) does not depend on x1. 
Drensky, Vesselin; Gupta, C. K. Automorphisms of Free Nilpotent Lie Algebras. Canadian journal of mathematics, Tome 42 (1990) no. 2, pp. 259-279. doi: 10.4153/CJM-1990-015-1
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