LEIBNIZ SUPERALGEBRAS AND CENTRAL EXTENSIONS

摘要

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 He superalgebras in the category of Leibniz superalgebras. They play a key role in studying Leibniz superalgebras graded by finite root systems.