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Indexed by:期刊论文

Date of Publication:2017-12-01

Journal:ALGEBRA COLLOQUIUM

Included Journals:SCIE

Volume:24

Issue:4

Page Number:673-684

ISSN No.:1005-3867

Key Words:basic classical Lie superalgebra; local superderivation; superderivation

Abstract:In this paper, we prove that every local superderivation on basic classical Lie superalgebras except for A(1, 1) over the complex number field C is a superderivation. Furthermore, we give an example of a class of nilpotent Lie superalgebras with local superderivations which are not superderivations.