论文标题
2步nilpotent $ l_ \ infty $ - 代数和超图
2-step Nilpotent $L_\infty$-algebras and Hypergraphs
论文作者
论文摘要
我们描述了一个将nilpotent强的同质谎言代数附加到每个简单的超图上的程序，并仅当相应的强质量lie代数为同构时，就证明了两个超图是同构的。作为一种应用，我们表征了在相应的强同态lie代数上以符号形式为代表的系统的超图。我们以低度为代数为代数的共同体的组合描述结束。
We describe a procedure to attach a nilpotent strong homotopy Lie algebra to every simple hypergraph and prove that two hypergraphs are isomorphic if and only if the corresponding strong homotopy Lie algebras are isomorphic. As an application, we characterize hypergraphs admitting a system of distinct representatives in terms of symplectic forms on the corresponding strong homotopy Lie algebra. We conclude with a combinatorial description of the cohomology of these strong homotopy Lie algebras in low degree.
