A NOTE ON DERIVATIONS OF LIE ALGEBRAS
2011 ◽
Vol 84
(3)
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pp. 444-446
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Keyword(s):
AbstractIn this note, we will prove that a finite-dimensional Lie algebra L over a field of characteristic zero, admitting an abelian algebra of derivations D≤Der(L), with the property for some n>1, is necessarily solvable. As a result, we show that if L has a derivation d:L→L such that Ln⊆d(L), for some n>1, then L is solvable.
Keyword(s):
1969 ◽
Vol 21
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pp. 1432-1454
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Keyword(s):
2009 ◽
Vol 20
(11)
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pp. 1347-1362
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1976 ◽
Vol 28
(1)
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pp. 174-180
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1983 ◽
Vol 94
(1-2)
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pp. 9-13
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1986 ◽
Vol 29
(2)
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pp. 199-220
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2014 ◽
Vol 14
(02)
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pp. 1550024
1971 ◽
Vol 14
(1)
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pp. 113-115
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2007 ◽
Vol 5
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pp. 195-200