Lie algebras graded by finite root systems and intersection matrix algebras

被引：99
作者：
Benkart, G
Zelmanov, E
机构：
[1] Department of Mathematics, University of Wisconsin, Madison
来源：
INVENTIONES MATHEMATICAE | 1996年 / 126卷 / 01期
关键词：
D O I：
10.1007/s002220050087
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 types B, C, F, and G. 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 greater than or equal to 2.
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页码：1 / 45
页数：45
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