BIPARTITE GRAPHS AND THE STRUCTURE OF FINITE-DIMENSIONAL SEMISIMPLE LEIBNIZ ALGEBRAS

Abstract

Given a nite connected bipartite graph, finite-dimensional indecomposable

semisimple Leibniz algebras are constructed. Furthermore, any

finite-dimensional indecomposable semisimple Leibniz algebra admits a similar

construction.

Keywords

• Semisimple Leibniz algebra,connected bipartite graph

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