A note on simplicity of contact Lie algebras over \(\operatorname{GF}(2)\)
In this note we investigate the structure of contact Lie algebras when the ground field is of characteristic 2. In order to describe the simple constituent of contact Lie algebras, by using computer algebra system, GAP, we make a conjecture which says that the quotient algebra of contact Lie algebra...
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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/114 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-114 |
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oai:ojs.admjournal.luguniv.edu.ua:article-1142018-04-26T02:43:18Z A note on simplicity of contact Lie algebras over \(\operatorname{GF}(2)\) Zargeh, Chia simple Lie algebras, contact Lie algebras, Hamilton Lie algebras, Witt Lie algebras. 17B50, 17B70 In this note we investigate the structure of contact Lie algebras when the ground field is of characteristic 2. In order to describe the simple constituent of contact Lie algebras, by using computer algebra system, GAP, we make a conjecture which says that the quotient algebra of contact Lie algebra by its Nilradical is simple and there exits an isomorphism among this constituents and Witt Lie algebras and Hamilton Lie algebras. Lugansk National Taras Shevchenko University University of Tabriz 2018-01-24 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/114 Algebra and Discrete Mathematics; Vol 24, No 2 (2017) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/114/pdf Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
simple Lie algebras contact Lie algebras Hamilton Lie algebras Witt Lie algebras. 17B50 17B70 |
| spellingShingle |
simple Lie algebras contact Lie algebras Hamilton Lie algebras Witt Lie algebras. 17B50 17B70 Zargeh, Chia A note on simplicity of contact Lie algebras over \(\operatorname{GF}(2)\) |
| topic_facet |
simple Lie algebras contact Lie algebras Hamilton Lie algebras Witt Lie algebras. 17B50 17B70 |
| format |
Article |
| author |
Zargeh, Chia |
| author_facet |
Zargeh, Chia |
| author_sort |
Zargeh, Chia |
| title |
A note on simplicity of contact Lie algebras over \(\operatorname{GF}(2)\) |
| title_short |
A note on simplicity of contact Lie algebras over \(\operatorname{GF}(2)\) |
| title_full |
A note on simplicity of contact Lie algebras over \(\operatorname{GF}(2)\) |
| title_fullStr |
A note on simplicity of contact Lie algebras over \(\operatorname{GF}(2)\) |
| title_full_unstemmed |
A note on simplicity of contact Lie algebras over \(\operatorname{GF}(2)\) |
| title_sort |
note on simplicity of contact lie algebras over \(\operatorname{gf}(2)\) |
| description |
In this note we investigate the structure of contact Lie algebras when the ground field is of characteristic 2. In order to describe the simple constituent of contact Lie algebras, by using computer algebra system, GAP, we make a conjecture which says that the quotient algebra of contact Lie algebra by its Nilradical is simple and there exits an isomorphism among this constituents and Witt Lie algebras and Hamilton Lie algebras. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/114 |
| work_keys_str_mv |
AT zargehchia anoteonsimplicityofcontactliealgebrasoveroperatornamegf2 AT zargehchia noteonsimplicityofcontactliealgebrasoveroperatornamegf2 |
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2024-04-12T06:26:00Z |
| last_indexed |
2024-04-12T06:26:00Z |
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1796109144922521600 |