Lie algebras graded by finite root systems and intersection matrix algebras
Lie algebras graded by finite root systems and intersection matrix algebras
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DOI：
10.1007/s002220050087
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发表时间：
1996-09
影响因子：
3.1
通讯作者：
G. Benkart;E. Zelmanov
中科院分区：
文献类型：
--
作者：
G. Benkart;E. Zelmanov
本文对由双系有限根系统分级的李代数进行分类，并应用该分类来识别由 B、C、F 和 G 型乘法亲和嘉当矩阵产生的交矩阵代数。这就完成了由伯曼和穆迪发起的有限根系分级李代数的确定，他们研究了秩≧2的单系有限根系。
This paper classifies the Lie algebras graded by doubly-laced finite root systems and applies this classification to identify the intersection matrix algebras arising from multiply affinized Cartan matrices of typesB,C,F, andG. This completes the determination of the Lie algebras graded by finite root systems initiated by Berman and Moody who studied the simply-laced finite root systems of rank≧2.