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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 10, Pages 74–78
(Mi ivm8746)
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This article is cited in 2 scientific papers (total in 2 papers)
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.
Citation:
A. G. Gein, “Finite-dimensional simple Lie algebras with a subalgebra lattice of length 3”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 10, 74–78; Russian Math. (Iz. VUZ), 56:10 (2012), 62–65
Linking options:
https://www.mathnet.ru/eng/ivm8746 https://www.mathnet.ru/eng/ivm/y2012/i10/p74
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Abstract page: | 221 | Full-text PDF : | 53 | References: | 29 | First page: | 5 |
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