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Matematicheskie Zametki, 2013, Volume 93, Issue 5, Pages 746–763
DOI: https://doi.org/10.4213/mzm8894 (Mi mzm8894) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Naturally Graded Leibniz Algebras with Characteristic Sequence $(n-m, m)$

K. K. Masutova, B. A. Omirov, A. Kh. Khudojberdyjev

Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan
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DOI: https://doi.org/10.4213/mzm8894
Abstract: We consider the classification problem for special classes of nilpotent Leibniz algebras. Namely, we consider “naturally” graded nilpotent $n$-dimensional Leibniz algebras for which the right multiplication operator (by the generic element) has two Jordan blocks of dimensions $m$ and $n-m$. Earlier, the problem of classifying such algebras was studied for $m<4$. The present paper continues these studies for the case $m\ge4$.
Keywords: nilpotent Leibniz algebra, naturally graded Leibniz algebra, right multiplication operator, Lie algebra, nil-filiform Leibniz algebra, Jordan block, lower central series, nilpotency index, nil-index.
Received: 25.06.2010
Revised: 28.12.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 5, Pages 740–755
DOI: https://doi.org/10.1134/S0001434613050118
Bibliographic databases:
Document Type: Article
UDC: 512.554.38
Language: Russian
Citation: K. K. Masutova, B. A. Omirov, A. Kh. Khudojberdyjev, “Naturally Graded Leibniz Algebras with Characteristic Sequence $(n-m, m)$”, Mat. Zametki, 93:5 (2013), 746–763; Math. Notes, 93:5 (2013), 740–755
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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