2-Local Superderivations on Basic Classical Lie Superalgebras

2-Local Superderivations on Basic Classical Lie Superalgebras

Let F be an algebraically closed field of characteristic zero, and L be a basic classical Lie superalgebra except A（n, n） over F. In this paper, we prove that every 2-local superderivation on L is a superderivation. Furthermore, we give an example to show that a subalgebra of spl（2, 2） admits a 2-lo...

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Veröffentlicht in:数学研究及应用：英文版 2017, Vol.37 (5), p.527-534
1. Verfasser: Ying WANG Haixian CHEN Jizhu NAN
Format: Artikel
Sprache:eng
Schlagworte:
SPL
代数闭域
子基
超导子
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Zusammenfassung:Let F be an algebraically closed field of characteristic zero, and L be a basic classical Lie superalgebra except A（n, n） over F. In this paper, we prove that every 2-local superderivation on L is a superderivation. Furthermore, we give an example to show that a subalgebra of spl（2, 2） admits a 2-local superderivation which is not a superderivation.
ISSN:2095-2651