2-Local derivations on finite-dimensional semi-simple Lie algebras
We prove that every 2-local derivation on a finite-dimensional semi-simple Lie algebra L over an algebraically closed field of characteristic zero is a derivation. We also show that a finite-dimensional nilpotent Lie algebra L with dim L ≥ 2 admits a 2-local derivation which is not a derivation.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/43451/1/2.pdf |
| Summary: | We prove that every 2-local derivation on a finite-dimensional semi-simple Lie algebra L over an algebraically closed field of characteristic zero is a derivation. We also show that a finite-dimensional nilpotent Lie algebra L with dim L ≥ 2 admits a 2-local derivation which is not a derivation. |
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