TENSOR PRODUCTS OF INFINITE DIMENSIONAL MODULES IN THE BGG CATEGORY OF A QUANTIZED SIMPLE LIE ALGEBRA OF TYPE ADE

被引：0

作者：

Wei, Zhaoting ^{[1
]}

机构：

[1] Texas A&M Univ Commerce, Dept Math, Commerce, TX 75429 USA

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2024年 / 35卷

关键词：

BGG category; quantized universal enveloping algebra; tensor product; formal character;

D O I：

10.24330/ieja.1357059

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the BGG category O of a quantized universal en-veloping algebra Uq(g). It is well-known that M (R) N is an element of O if M or N is finite dimensional. When g is simple and of type ADE, we prove in this paper that M (R) N is not an element of O if M and N are both infinite dimensional.

引用

页码：108 / 120

页数：13

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