LEIBNIZ SUPERALGEBRAS AND CENTRAL EXTENSIONS
Dong LiuDepartment of Mathematics, Huzhou Teachers College, Zhejiang Huzhou, 313000, P. R. ChinaNaihong HuDepartment of Mathematics, East China Normal University, Shanghai, 200062, P. R. China
2006en
ABI
Abstract
In this paper we study Leibniz superalgebras and their universal central extensions, and obtain some similar results as in the case of Lie superalgebras. We determine universal central extensions of basic classical Lie superalgebras in the category of Leibniz superalgebras. They play a key role in studying Leibniz superalgebras graded by finite root systems.
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Cited by 30 references