Coordinate Algebras of Extended Affine Lie Algebras of Type A1
Coordinate Algebras of Extended Affine Lie Algebras of Type A1
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DOI：
10.1006/jabr.2000.8450
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发表时间：
2000-12
影响因子：
0.9
通讯作者：
Yōji Yoshii
中科院分区：
文献类型：
--
作者：
Yōji Yoshii
摘要对除A1型外的约化型扩张仿射李代数的核进行了分类。本文确定了A_1型扩张仿射李代数的坐标代数。事实证明，这样的代数是一个单位Z n-分次的约旦代数的某种类型，称为约旦环面。对Jordan tori进行了分类，得到了Jordan tori的五种类型。
Abstract The cores of extended affine Lie algebras of reduced types were classified except for type A1. In this paper we determine the coordinate algebra of extended affine Lie algebras of type A1. It turns out that such an algebra is a unital Z n-graded Jordan algebra of a certain type, called a Jordan torus. We classify Jordan tori and get five types of Jordan tori.