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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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2020 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862615406252916736 |
|---|---|
| author | Biyogmam, G.R. Tcheka, C. |
| author_facet | Biyogmam, G.R. Tcheka, C. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-11-29T13:43:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188501 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-29T13:43:47Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Leibniz algebras with absolute maximal Lie subalgebras Biyogmam, G.R. Tcheka, C. |
| title | 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_short | Leibniz algebras with absolute maximal Lie subalgebras |
| title_sort | leibniz algebras with absolute maximal lie subalgebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188501 |
| work_keys_str_mv | AT biyogmamgr leibnizalgebraswithabsolutemaximalliesubalgebras AT tchekac leibnizalgebraswithabsolutemaximalliesubalgebras |