Coxeter exponents and orthogonal complements of highest roots

被引：0

作者：

Burns, J. M. ^{[1
]}

Makrooni, M. A. ^{[1
]}

机构：

[1] Natl Univ Ireland, Sch Math Stat & Appl Math, ADB G025,Univ Rd, Galway, Ireland

来源：

COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 07期

关键词：

Coxeter exponent; subroot system; Wolf space; MANIFOLDS; SPACES;

D O I：

10.1080/00927872.2020.1723020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we study the subroot system of an irreducible (reduced, crystallographic) root system obtained by taking the orthogonal complement of the highest root. We describe root theoretic data (the Coxeter number and the largest coefficient of the highest root when expressed in terms of the simple roots) of this subroot system in terms of that of As an application, we obtain a new description of the Coxeter exponents of a complex simple Lie algebra.

引用

页码：2833 / 2843

页数：11