Q-CHARACTERS OF THE TENSOR PRODUCTS IN sl2-CASE

被引：32

作者：

Feigin, B. ^{[1
,2
]}

Feigin, E. ^{[2
]}

机构：

[1] LD Landau Theoret Phys Inst, Chernogolovka 142432, Russia

[2] Independent Univ Moscow, Moscow, Russia

来源：

MOSCOW MATHEMATICAL JOURNAL | 2002年 / 2卷 / 03期

关键词：

Universal enveloping algebra; representation theory; current algebra; Gordon's formula;

D O I：

10.17323/1609-4514-2002-2-3-567-588

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let pi(1), . . ., pi(n) be irreducible finite-dimensional sl(2)-modules. Using the theory of representations of current algebras, we introduce several ways to construct a q-grading on pi(1) circle times . . . circle times pi(n). We study the corresponding graded modules and prove that they are essentially the same.

引用

页码：567 / 588

页数：22

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