On the Classification of the Real Four-Dimensional Lie Algebras
On the Classification of the Real Four-Dimensional Lie Algebras
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关于实四维李代数的分类
DOI：
10.1007/978-1-4612-1422-9_21
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
M. MacCallum
中科院分区：
文献类型：
--
作者：
M. MacCallum
列举了不同的实 4 维李代数。枚举方法使用了 Farnsworth 和 Kerr 的结果，并为根据结构常数给定的代数进行分类的算法提供了基础。不同的类型被赋予标签来引用它们的不变属性。回顾了文献中的替代方案，并提供了交叉引用所有这些方案的表格。附录中对 3 维代数进行了类似的处理。
The distinct real 4-dimensional Lie algebras are enumerated. The method of enumeration uses a result due to Farnsworth and Kerr, and provides a basis for an algorithm for classifying an algebra given in terms of its structure constants. The different types are given labels referring to their invariant properties. Alternative schemes in the literature are reviewed, and a table cross-referencing all these schemes is provided. The 3-dimensional algebras are similarly treated in an appendix.