Geodesic
Outer automorphisms of locally simple Lie algebras
Sbornik. Mathematics, Tome 188 (1997) no. 9, pp. 1295-1316 
D. V. Zhdanovich. Outer automorphisms of locally simple Lie algebras. Sbornik. Mathematics, Tome 188 (1997) no. 9, pp. 1295-1316. http://geodesic.mathdoc.fr/item/SM_1997_188_9_a2/
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     author = {D. V. Zhdanovich},
     title = {Outer automorphisms of locally simple {Lie} algebras},
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     url = {http://geodesic.mathdoc.fr/item/SM_1997_188_9_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The automorphism groups of locally simple Lie algebras over $\mathbb C$ are studied. The group of inner automorphisms of such algebras can be defined in a natural way, and it is normal in the automorphisms group. Hence a group of outer automorphisms of a locally simple Lie algebra can be defined. In contact to the finite-dimensional case, it is shown that the group of outer automorphisms is not necessarily finite. It is completely calculated in some special cases.

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