标题： 关于寻找S相关的李代数的算法 显示英文标题

标题： On the algorithm to find S-related Lie algebras

摘要： 在本文中，我们描述了我们最近构建的Java库，用于自动化S-展开方法，这是一种强大的数学技术，允许关联不同的李代数。 此过程中的一个重要输入是使用阿贝尔半群，因此，我们首先简要回顾了近年来文献中对非同构半群的分类，并解释了如何将直到阶数6的非同构半群列表用作我们库中许多方法的输入。 在描述了组成我们库的类的主要特性之后，我们介绍了一种新的方法称为fillTemplate，结果表明该方法对于回答两个给定的代数是否可以S相关非常有用。 显示英文摘要

摘要： In this article we describe the Java library that we have recently constructed to automatize the S-expansion method, a powerful mathematical technique allowing to relate different Lie algebras. An important input in this procedure is the use of abelian semigroups and thus, we start with a brief review about the classification of non-isomorphic semigroups made in the literature during the last decades, and explain how the lists of non-isomorphic semigroups up to order 6 can be used as inputs in many of the methods of our library. After describing the main features of the classes that compose our library we present a new method called fillTemplate which tuns out to be very useful to answer whether two given algebras can be S-related.