Geodesic
Projections of semisimple Lie algebras
Algebra i logika, Tome 58 (2019) no. 2, pp. 149-166.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the property of being a semisimple algebra is preserved under projections (lattice isomorphisms) for locally finite-dimensional Lie algebras over a perfect field of characteristic not equal to 2 and 3, except for the projection of a three-dimensional simple nonsplit algebra. Over fields with the same restrictions, we give a lattice characterization of a three-dimensional simple split Lie algebra and a direct product of a one-dimensional algebra and a three-dimensional simple nonsplit one.
Keywords: subalgebra lattice, lattice isomorphism, semisimple Lie algebras
Mots-clés : modular subalgebra. 
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A. G. Gein. Projections of semisimple Lie algebras. Algebra i logika, Tome 58 (2019) no. 2, pp. 149-166. http://geodesic.mathdoc.fr/item/AL_2019_58_2_a0/

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