On action of outer derivations on nilpotent ideals of Lie algebras
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On action of outer derivations on nilpotent ideals of Lie algebras
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| Creator |
Maksimenko, D.V.
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| 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.
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| Date |
2019-06-14T03:42:59Z
2019-06-14T03:42:59Z 2009 |
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| Type |
Article
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| Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/153383 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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