A note on simplicity of contact Lie algebras over 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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| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2017 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2017
|
| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156644 |
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| Цитувати: | A note on simplicity of contact Lie algebras over GF(2) / C. Zargeh // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 331-336. — Бібліогр.: 11 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-156644 |
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| record_format |
dspace |
| spelling |
irk-123456789-1566442019-06-19T01:29:20Z A note on simplicity of contact Lie algebras over GF(2) Zargeh, C. 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. 2017 Article A note on simplicity of contact Lie algebras over GF(2) / C. Zargeh // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 331-336. — Бібліогр.: 11 назв. — англ. 1726-3255 2010 MSC:17B50, 17B70. http://dspace.nbuv.gov.ua/handle/123456789/156644 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 |
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. |
| format |
Article |
| author |
Zargeh, C. |
| spellingShingle |
Zargeh, C. A note on simplicity of contact Lie algebras over GF(2) Algebra and Discrete Mathematics |
| author_facet |
Zargeh, C. |
| author_sort |
Zargeh, C. |
| title |
A note on simplicity of contact Lie algebras over GF(2) |
| title_short |
A note on simplicity of contact Lie algebras over GF(2) |
| title_full |
A note on simplicity of contact Lie algebras over GF(2) |
| title_fullStr |
A note on simplicity of contact Lie algebras over GF(2) |
| title_full_unstemmed |
A note on simplicity of contact Lie algebras over GF(2) |
| title_sort |
note on simplicity of contact lie algebras over gf(2) |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156644 |
| citation_txt |
A note on simplicity of contact Lie algebras over GF(2) / C. Zargeh // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 331-336. — Бібліогр.: 11 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT zargehc anoteonsimplicityofcontactliealgebrasovergf2 AT zargehc noteonsimplicityofcontactliealgebrasovergf2 |
| first_indexed |
2023-05-20T17:50:09Z |
| last_indexed |
2023-05-20T17:50:09Z |
| _version_ |
1796154203259797504 |