Leibniz algebras with absolute maximal Lie subalgebras
A Lie subalgebra of a given Leibniz algebra is said to be an absolute maximal Lie subalgebra if it has codimension one. In this paper, we study some properties of non-Lie Leibniz algebras containing absolute maximal Lie subalgebras. When the dimension and codimension of their Lie-center are greater...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2020 |
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| Language: | English |
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Інститут прикладної математики і механіки НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188501 |
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| Cite this: | Leibniz algebras with absolute maximal Lie subalgebras / G.R. Biyogmam, C. Tcheka // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 52–65. — Бібліогр.: 18 назв. — англ. |
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Biyogmam, G.R. Tcheka, C. 2023-03-03T15:49:10Z 2023-03-03T15:49:10Z 2020 Leibniz algebras with absolute maximal Lie subalgebras / G.R. Biyogmam, C. Tcheka // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 52–65. — Бібліогр.: 18 назв. — англ. 1726-3255 DOI:10.12958/adm1165 2010 MSC: 17A32, 17B55, 18B99. https://nasplib.isofts.kiev.ua/handle/123456789/188501 A Lie subalgebra of a given Leibniz algebra is said to be an absolute maximal Lie subalgebra if it has codimension one. In this paper, we study some properties of non-Lie Leibniz algebras containing absolute maximal Lie subalgebras. When the dimension and codimension of their Lie-center are greater than two, we refer to these Leibniz algebras as s-Leibniz algebras (strong Leibniz algebras). We provide a classification of nilpotent Leibniz s-algebras of dimension up to five. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Leibniz algebras with absolute maximal Lie subalgebras Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Leibniz algebras with absolute maximal Lie subalgebras |
| spellingShingle |
Leibniz algebras with absolute maximal Lie subalgebras Biyogmam, G.R. Tcheka, C. |
| title_short |
Leibniz algebras with absolute maximal Lie subalgebras |
| title_full |
Leibniz algebras with absolute maximal Lie subalgebras |
| title_fullStr |
Leibniz algebras with absolute maximal Lie subalgebras |
| title_full_unstemmed |
Leibniz algebras with absolute maximal Lie subalgebras |
| title_sort |
leibniz algebras with absolute maximal lie subalgebras |
| author |
Biyogmam, G.R. Tcheka, C. |
| author_facet |
Biyogmam, G.R. Tcheka, C. |
| publishDate |
2020 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
A Lie subalgebra of a given Leibniz algebra is said to be an absolute maximal Lie subalgebra if it has codimension one. In this paper, we study some properties of non-Lie Leibniz algebras containing absolute maximal Lie subalgebras. When the dimension and codimension of their Lie-center are greater than two, we refer to these Leibniz algebras as s-Leibniz algebras (strong Leibniz algebras). We provide a classification of nilpotent Leibniz s-algebras of dimension up to five.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188501 |
| citation_txt |
Leibniz algebras with absolute maximal Lie subalgebras / G.R. Biyogmam, C. Tcheka // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 52–65. — Бібліогр.: 18 назв. — англ. |
| work_keys_str_mv |
AT biyogmamgr leibnizalgebraswithabsolutemaximalliesubalgebras AT tchekac leibnizalgebraswithabsolutemaximalliesubalgebras |
| first_indexed |
2025-11-29T13:43:47Z |
| last_indexed |
2025-11-29T13:43:47Z |
| _version_ |
1850854950822739968 |