Geodesic
Computational Experiments with Nilpotent Lie Algebras
Matematičeskie zametki, Tome 107 (2020) no. 1, pp. 23-31.

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Results of computer experiments on the study of properties of generic Lie subalgebras with two generators in the Lie algebra of nilpotent matrices whose order does not exceed 10 are presented. The calculations carried out have made it possible to formulate several statements (so-called virtual theorems) on properties of the Lie subalgebras in question. The dimensions of the lower and upper central series and of the series of commutator subalgebras and the characteristic nilpotency property of the Lie subalgebras constructed here and of generic Lie subalgebras of codimension 1 in these Lie subalgebras are studied.
Keywords: nilpotent Lie algebra, characteristically nilpotent Lie algebra, filiform Lie algebra.
Mots-clés : matrix Lie algebra 
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V. V. Gorbatsevich. Computational Experiments with Nilpotent Lie Algebras. Matematičeskie zametki, Tome 107 (2020) no. 1, pp. 23-31. http://geodesic.mathdoc.fr/item/MZM_2020_107_1_a2/

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