On action of outer derivations on nilpotent ideals of Lie algebras
Action of outer derivations on nilpotent ideals of Lie algebras are considered. It is shown that for a nilpotent ideal I of a Lie algebra L over a field F the ideal I+D(I) is nilpotent, provided that charF=0 or I nilpotent of nilpotency class less than p−1, where p=charF. In particular, the sum N(...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
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| Дата: | 2009 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/153383 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On action of outer derivations on nilpotent ideals of Lie algebras / D.V. Maksimenko // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 74–82. — Бібліогр.: 6 назв. — англ. |
Репозитарії
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nasplib_isofts_kiev_ua-123456789-153383 |
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Maksimenko, D.V. 2019-06-14T03:42:59Z 2019-06-14T03:42:59Z 2009 On action of outer derivations on nilpotent ideals of Lie algebras / D.V. Maksimenko // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 74–82. — Бібліогр.: 6 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 17B40. https://nasplib.isofts.kiev.ua/handle/123456789/153383 Action of outer derivations on nilpotent ideals of Lie algebras are considered. It is shown that for a nilpotent ideal I of a Lie algebra L over a field F the ideal I+D(I) is nilpotent, provided that charF=0 or I nilpotent of nilpotency class less than p−1, where p=charF. In particular, the sum N(L) of all nilpotent ideals of a Lie algebra L is a characteristic ideal, if charF=0 or N(L) is nilpotent of class less than p−1, where p=charF. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On action of outer derivations on nilpotent ideals of Lie algebras Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On action of outer derivations on nilpotent ideals of Lie algebras |
| spellingShingle |
On action of outer derivations on nilpotent ideals of Lie algebras Maksimenko, D.V. |
| title_short |
On action of outer derivations on nilpotent ideals of Lie algebras |
| title_full |
On action of outer derivations on nilpotent ideals of Lie algebras |
| title_fullStr |
On action of outer derivations on nilpotent ideals of Lie algebras |
| title_full_unstemmed |
On action of outer derivations on nilpotent ideals of Lie algebras |
| title_sort |
on action of outer derivations on nilpotent ideals of lie algebras |
| author |
Maksimenko, D.V. |
| author_facet |
Maksimenko, D.V. |
| publishDate |
2009 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
Action of outer derivations on nilpotent ideals of Lie algebras are considered. It is shown that for a nilpotent ideal I of a Lie algebra L over a field F the ideal I+D(I) is nilpotent, provided that charF=0 or I nilpotent of nilpotency class less than p−1, where p=charF. In particular, the sum N(L) of all nilpotent ideals of a Lie algebra L is a characteristic ideal, if charF=0 or N(L) is nilpotent of class less than p−1, where p=charF.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/153383 |
| citation_txt |
On action of outer derivations on nilpotent ideals of Lie algebras / D.V. Maksimenko // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 74–82. — Бібліогр.: 6 назв. — англ. |
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2025-12-07T13:37:03Z |
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2025-12-07T13:37:03Z |
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1850856831152291840 |