论文标题
计算半简单谎言代数的结构常数的简单方法
A simple way to compute structure constants of semi-simple Lie algebras
论文作者
论文摘要
计算半简单谎言代数的结构常数的标准方法涉及根的加成结构。在较早的工作中，我描述了如何通过使用Weyl组的结构来应用雅克山雀的思想来实现此目的。在这项工作中，我解释了如何将一些早期想法与Kottwitz的一些建议相结合，以提出一种非常简单的算法，该算法接近构建Lie代数的规范基础。不幸的是，与以前的方法不同，它不适用于任意Kac-Moody代数。
The standard way to compute the structure constants of semi-simple Lie algebras involves the additive structure of the roots. In earlier work, I described how ideas of Jacques Tits could be applied to do this by using the structure of the Weyl group. In this work, I explain how to combine some of the earlier ideas with some suggestions of Kottwitz to present a very simple algorithm which comes close to constructing a canonical basis of the Lie algebra. Unfortunately, unlike previous methods, it does not work for arbitrary Kac-Moody algebra.
