Geodesic
Finite-dimensional simple Lie algebras with a subalgebra lattice of length 3
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2012), pp. 74-78 Cet article a éte moissonné depuis la source Math-Net.Ru

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Lie algebras with a subalgebra lattice of length 2 are well-known. To study a subalgebra lattice of greater length, it is useful to get some information on Lie algebras with a subalgebra lattice of length 3. We show that a finite-dimensional simple Lie algebra over a field of characteristic 0 or a perfect field of prime characteristic greater than 5 whose subalgebra lattice has length 3 may be one of four types.
Mots-clés : simple Lie algebras
Keywords: subalgebra lattices, minimal algebras. 
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     author = {A. G. Gein},
     title = {Finite-dimensional simple {Lie} algebras with a~subalgebra lattice of length~3},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2012_10_a5/}
}
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A. G. Gein. Finite-dimensional simple Lie algebras with a subalgebra lattice of length 3. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2012), pp. 74-78. http://geodesic.mathdoc.fr/item/IVM_2012_10_a5/

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