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.
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Elsevier
2015
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my.upm.eprints.434512016-05-13T08:14:15Z http://psasir.upm.edu.my/id/eprint/43451/ 2-Local derivations on finite-dimensional semi-simple Lie algebras Ayupov, Shavkat Kudaybergenov, Karimbergen Sattarovich, Rakhimov Isamiddin 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. Elsevier 2015 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/43451/1/2.pdf Ayupov, Shavkat and Kudaybergenov, Karimbergen and Sattarovich, Rakhimov Isamiddin (2015) 2-Local derivations on finite-dimensional semi-simple Lie algebras. Linear Algebra and Its Applications, 474. pp. 1-11. ISSN 0024-3795; ESSN: 1873-1856 10.1016/j.laa.2015.01.016 |
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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. |
| format |
Article |
| author |
Ayupov, Shavkat Kudaybergenov, Karimbergen Sattarovich, Rakhimov Isamiddin |
| spellingShingle |
Ayupov, Shavkat Kudaybergenov, Karimbergen Sattarovich, Rakhimov Isamiddin 2-Local derivations on finite-dimensional semi-simple Lie algebras |
| author_facet |
Ayupov, Shavkat Kudaybergenov, Karimbergen Sattarovich, Rakhimov Isamiddin |
| author_sort |
Ayupov, Shavkat |
| title |
2-Local derivations on finite-dimensional semi-simple Lie algebras |
| title_short |
2-Local derivations on finite-dimensional semi-simple Lie algebras |
| title_full |
2-Local derivations on finite-dimensional semi-simple Lie algebras |
| title_fullStr |
2-Local derivations on finite-dimensional semi-simple Lie algebras |
| title_full_unstemmed |
2-Local derivations on finite-dimensional semi-simple Lie algebras |
| title_sort |
2-local derivations on finite-dimensional semi-simple lie algebras |
| publisher |
Elsevier |
| publishDate |
2015 |
| url |
http://psasir.upm.edu.my/id/eprint/43451/1/2.pdf http://psasir.upm.edu.my/id/eprint/43451/ |
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1643833569622097920 |