Finite-dimensional Leibniz algebras and combinatorial structures
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS(2018)
摘要
Given a finite-dimensional Leibniz algebra with certain basis, we show how to associate such algebra with a combinatorial structure of dimension 2. In some particular cases, this structure can be reduced to a digraph or a pseudodigraph. In this paper, we study some theoretical properties about this association and we determine the type of Leibniz algebra associated to each of them.
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关键词
Digraph,pseudodigraph,combinatorial structure,Leibniz algebra,Lie algebra
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