2-Local derivations of infinite-dimensional Lie algebras
2019 ◽
Vol 19
(05)
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pp. 2050100
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Keyword(s):
In the present paper, we study 2-local derivations of infinite-dimensional Lie algebras over a field of characteristic zero. We prove that all 2-local derivations of the Witt algebra as well as of the positive Witt algebra and the classical one-sided Witt algebra are (global) derivations. We also give an example of an infinite-dimensional Lie algebra with a 2-local derivation which is not a derivation.
1976 ◽
Vol 28
(1)
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pp. 174-180
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1999 ◽
Vol 59
(2)
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pp. 217-223
1986 ◽
Vol 29
(2)
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pp. 199-220
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1989 ◽
Vol 04
(16)
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pp. 4295-4302
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2019 ◽
Vol 18
(01)
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pp. 1950002
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1990 ◽
Vol 05
(15)
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pp. 1167-1174
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2003 ◽
Vol 83
(11)
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pp. 791-791
1984 ◽
Vol 96
(1)
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pp. 45-60
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Keyword(s):
2006 ◽
Vol 40
(3)
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pp. 228-233
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