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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| Дата: | 2020 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2020
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188501 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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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irk-123456789-188501 |
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irk-123456789-1885012023-03-04T01:27:06Z Leibniz algebras with absolute maximal Lie subalgebras Biyogmam, G.R. Tcheka, C. 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. 2020 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/188501 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Biyogmam, G.R. Tcheka, C. |
| spellingShingle |
Biyogmam, G.R. Tcheka, C. Leibniz algebras with absolute maximal Lie subalgebras Algebra and Discrete Mathematics |
| author_facet |
Biyogmam, G.R. Tcheka, C. |
| author_sort |
Biyogmam, G.R. |
| title |
Leibniz algebras with absolute maximal Lie subalgebras |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2020 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT biyogmamgr leibnizalgebraswithabsolutemaximalliesubalgebras AT tchekac leibnizalgebraswithabsolutemaximalliesubalgebras |
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2023-10-18T23:08:30Z |
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2023-10-18T23:08:30Z |
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1796157354804248576 |