Modules of constant Jordan type

被引：45

作者：

Carlson, Jon F. ^{[1
]}

Friedlander, Eric M. ^{[2
]}

Pevtsova, Julia ^{[3
]}

机构：

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

[2] Northwestern Univ, Dept Math, Evanston, IL USA

[3] Univ Washington, Dept Math, Seattle, WA 98195 USA

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2008年 / 614卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1515/CRELLE.2008.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the class of modules of constant Jordan type for a finite group scheme G over a field k of characteristic p > 0. This class is closed under taking direct sums, tensor products, duals, Heller shifts and direct summands, and includes endotrivial modules. It contains all modules in an Auslander-Reiten component which has at least one module in the class. Highly non-trivial examples are constructed using cohomological techniques. We offer conjectures suggesting that there are strong conditions on a partition to be the Jordan type associated to a module of constant Jordan type.

引用

页码：191 / 234

页数：44

共 30 条

[1] REPRESENTATIONS OF RANK ONE LIE-ALGEBRAS OF CHARACTERISTIC-P [J].