The Tetrahedron algebra, the Onsager algebra, and the sl2 loop algebra

被引：55

作者：

Hartwig, Brian ^{[1
]}

Terwilliger, Paul ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

JOURNAL OF ALGEBRA | 2007年 / 308卷 / 02期

关键词：

Lie algebra; Kac-Moody algebra; Onsager algebra; loop algebra;

D O I：

10.1016/j.jalgebra.2006.09.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K denote a field with characteristic 0 and let T denote an indeterminate. We give a presentation for the three-point loop algebra sl(2) circle times K[T, T-1, (T - 1)(-1)] via generators and relations. This presentation displays S-4-symmetry. Using this presentation we obtain a decomposition of the above loop algebra into a direct sum of three subalgebras, each of which is isomorphic to the Onsager algebra. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：840 / 863

页数：24

共 39 条

[1] ONSAGER ALGEBRA AND INTEGRABLE LATTICE MODELS [J].