On infinite root systems
On infinite root systems
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DOI：
10.1090/s0002-9947-1989-0964901-8
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发表时间：
1989-02
影响因子：
1.3
通讯作者：
R. Moody;A. Pianzola
中科院分区：
文献类型：
--
作者：
R. Moody;A. Pianzola
我们以一种公理化的方式定义了根数据集的概念，它推广了Kac-Moody李代数中根系统的一般概念。我们从纯粹的形式和几何的角度以及与它们相关的李代数来研究这些对象。这导致了根系统、基、亚根系统、由根数据定义的李代数和子代数的连贯理论。
We define in an axiomatic fashion the concept of a set of root data that generalizes the usual concept of root system of a Kac-Moody Lie algebra. We study these objects from a purely formal and geometrical point of view as well as in relation to their associated Lie algebras. This leads to a coherent theory of root systems, bases, subroot systems, Lie algebras defined by root data, and subalgebras.