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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2017 |
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| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156644 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862713552997974016 |
|---|---|
| author | Zargeh, C. |
| author_facet | Zargeh, C. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T17:44:55Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156644 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:44:55Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Zargeh, C. 2019-06-18T18:19:51Z 2019-06-18T18:19:51Z 2017 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. https://nasplib.isofts.kiev.ua/handle/123456789/156644 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. This work was done during the author’s research stay in the Institute of Computational Mathematics, Technical University of Braunschweig,Germany. He is very grateful for the scientific support and hospitality of TU-BS. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A note on simplicity of contact Lie algebras over GF(2) Article published earlier |
| spellingShingle | A note on simplicity of contact Lie algebras over GF(2) Zargeh, C. |
| title | 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_short | A note on simplicity of contact Lie algebras over GF(2) |
| title_sort | note on simplicity of contact lie algebras over gf(2) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156644 |
| work_keys_str_mv | AT zargehc anoteonsimplicityofcontactliealgebrasovergf2 AT zargehc noteonsimplicityofcontactliealgebrasovergf2 |