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Indexed by:期刊论文

Date of Publication:2018-09-01

Journal:CZECHOSLOVAK MATHEMATICAL JOURNAL

Included Journals:SCIE

Volume:68

Issue:3

Page Number:661-675

ISSN No.:0011-4642

Key Words:simple Lie superalgebra; superderivation; local superderivation

Abstract:Let (n) be a simple strange Lie superalgebra over the complex field a",. In a paper by A.Ayupov, K.Kudaybergenov (2016), the authors studied the local derivations on semi-simple Lie algebras over a", and showed the difference between the properties of local derivations on semi-simple and nilpotent Lie algebras. We know that Lie superalgebras are a generalization of Lie algebras and the properties of some Lie superalgebras are similar to those of semi-simple Lie algebras, but (n) is an exception. In this paper, we introduce the definition of the local superderivation on (n), give the structures and properties of the local superderivations of (n), and prove that every local superderivation on (n), n > 3, is a superderivation.