An algorithm to compute bases and representation matrices for SLn+1-representations

被引：15

作者：

Littelmann, P ^{[1
]}

机构：

[1] UNIV STRASBOURG 1,IRMA,F-67084 STRASBOURG,FRANCE

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1997年 / 117卷

关键词：

D O I：

10.1016/S0022-4049(97)00022-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a basis for irreducible representations of the complex Lie algebra sL(n+1). The basis is obtained by applying certain monomials in the enveloping algebra of SLn+1 to a highest weight vector. In addition we provide a straightening law which can be used to define an algorithm to compute the representation matrix of elements of sL(n+1) with respect to this basis. The method can be generalized to all complex simple Lie algebras with a simply laced root system. (C) 1997 Elsevier Science B.V.

引用

页码：447 / 468

页数：22