Representation growth of the classical lie algebras

被引：2

作者：

Augarten, Tal ^{[1
]}

机构：

[1] Imperial Coll, Dept Math, London SW7 2AZ, England

来源：

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

关键词：

Lie algebra; representation growth; irreducible representations;

D O I：

10.1080/00927872.2020.1729364

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be a simple complex Lie algebra with root system R of rank r. Larsen and Lubotzky observed that the number of irreducible representations of of degree <= n grows roughly like n. This paper makes a closer investigation of this phenomenon for algebras of type A, B, C, and D, giving explicit upper and lower bounds whose ratio depends only on r.

引用

页码：3099 / 3108

页数：10