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Brief communications Finite-dimensional simple Lie algebras with a subalgebra lattice of length 3 A. G. Gein Chair of Algebra and Discrete Mathematics, Ural Federal University, Ekaterinburg, Russia Abstract: 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. Keywords: simple Lie algebras, subalgebra lattices, minimal algebras.  Full text:
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English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:10,  Bibliographic databases:  
UDC: 512.554 Presented by the member of Editorial Board: Л. Н. Шеврин Received: 24.02.2012 Citation: A. G. Gein, “Finite-dimensional simple Lie algebras with a subalgebra lattice of length 3”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 10, 
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