Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2017-12-01

Journal: ALGEBRA COLLOQUIUM

Included Journals: SCIE

Volume: 24

Issue: 4

Page Number: 673-684

ISSN: 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.