Characters for extended affine Lie algebras: a combinatorial approach

被引：0
|
作者：
Azam, Saeid [1 ,2 ]
机构：
[1] Univ Isfahan, Fac Math & Stat, Dept Pure Math, POB 81746-73441, Esfahan, Iran
[2] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2024年 / 60卷 / 01期
基金：
美国国家科学基金会;
关键词：
Extended affine Lie algebra; Character; Cartan automorphism; Chevalley involution; Involutive Lie algebra; CLASSIFICATION;
D O I：
10.1007/s10801-024-01325-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The behavior of objects associated with general extended affine Lie algebras is typically distinct from their counterparts in affine Lie algebras. Our research focuses on studying characters and Cartan automorphisms, which appear in the study of Chevalley involutions and Chevalley bases for extended affine Lie algebras. We show that for almost all extended affine Lie algebras, any finite-order Cartan automorphism is diagonal, and its corresponding combinatorial map is a character.
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页码：1 / 27
页数：27
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