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Matematicheskie Zametki, 2020, Volume 107, Issue 1, Pages 23–31
DOI: https://doi.org/10.4213/mzm11585 (Mi mzm11585) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Computational Experiments with Nilpotent Lie Algebras

V. V. Gorbatsevich
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DOI: https://doi.org/10.4213/mzm11585
Abstract: 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, matrix Lie algebra, characteristically nilpotent Lie algebra, filiform Lie algebra.
Received: 15.03.2017
Revised: 22.03.2017
English version:
Mathematical Notes, 2020, Volume 107, Issue 1, Pages 20–26
DOI: https://doi.org/10.1134/S0001434620010034
Bibliographic databases:
Document Type: Article
UDC: 512.554.3
Language: Russian
Citation: V. V. Gorbatsevich, “Computational Experiments with Nilpotent Lie Algebras”, Mat. Zametki, 107:1 (2020), 23–31; Math. Notes, 107:1 (2020), 20–26
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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