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
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description 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.
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ispartof 数学研究及应用:英文版, 2017, Vol.37 (5), p.527-534
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subjects SPL
代数闭域
子基
超导子
title 2-Local Superderivations on Basic Classical Lie Superalgebras
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