Some subalgebras of indefinite type Kac-Moody Lie algebras

被引：0

作者：

Bhargava, Sandeep ^{[1
]}

Zeng, Ziting ^{[2
]}

机构：

[1] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada

[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2008年 / 212卷 / 05期

关键词：

D O I：

10.1016/j.jpaa.2007.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that every Kac-Moody Lie algebra of indefinite type contains a subalgebra with a Dynkin diagram having two adjacent vertices whose edge labels multiply to a number greater than or equal to five. Consequently, every Kac-Moody algebra of indefinite type contains a subalgebra of strictly hyperbolic type, and a free Lie algebra of rank two. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：1105 / 1115

页数：11

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