On the Various Realizations of the Basic Representation of An−1(1) and the Combinatorics of Partitions

被引：0
|
作者：
Séverine Leidwanger
机构：
[1] Université Denis Diderot,Institut de Mathématiques de Jussieu
来源：
Journal of Algebraic Combinatorics | 2001年 / 14卷
关键词：
Lie algebras; representation theory; combinatorics of partitions; symmetric functions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The infinite dimensional Lie algebra ŝln = An−1(1) can be realized in several ways as an algebra of differential operators. The aim of this note is to show that the intertwining operators between the realizations of ŝln corresponding to all partitions of n can be described very simply by using combinatorial constructions.
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页码：133 / 144
页数：11
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