Phantom maps and purity in modular representation theory, II

被引：24

作者：

Benson, DJ ^{[1
]}

Gnacadja, GP ^{[1
]}

机构：

[1] Univ Georgia, Dept Math, Athens, GA 30602 USA

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2001年 / 4卷 / 04期

基金：

美国国家科学基金会;

关键词：

phantom maps; modular representation theory; extended Milnor sequence;

D O I：

10.1023/A:1012475019810

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the second part of this paper, we use the theory described in the first part to construct an example of a counterintuitive phenomenon. We show how to produce examples of filtered systems in the stable module category stmod(kG) which do not lift to filtered systems in the module category mod(kG). Our main tool is the Extended Milnor Sequence, a five-term exact sequence which specializes to the classical Milnor sequence under certain countability conditions.

引用

页码：395 / 404

页数：10