A New Character Formula for Lie Algebras and Lie Groups

被引：0

作者：

Schuetzer, Waldeck ^{[1
]}

机构：

[1] Univ Fed Sao Carlos, Dept Math, BR-13565905 Sao Carlos, SP, Brazil

来源：

JOURNAL OF LIE THEORY | 2012年 / 22卷 / 03期

关键词：

Representation theory; characters; multiplicities; recursions; Ehrhart polynomials;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to present a new character formula for finite-dimensional representations of finite-dimensional complex semisimple Lie algebras and compact semisimple Lie Groups. Some applications of the new formula include the exact determination of the number of weights in a representation, new recursion formulas for multiplicities and, in some cases, closed formulas for the multiplicities themselves.

引用

页码：817 / 838

页数：22

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