Modules of Constant Jordan Type with Small Non-Projective Part

被引：0
|
作者：
David John Benson
机构：
[1] University of Aberdeen,Institute of Mathematics
来源：
Algebras and Representation Theory | 2013年 / 16卷
关键词：
Modular representation theory; Elementary abelian groups; Constant Jordan type; Vector bundles; Chern classes; Primary 20C20; Secondary 14J60;
D O I：
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中图分类号：
学科分类号：
摘要：
Let E be an elementary abelian p-group of rank r and let k be an algebraically closed field of characteristic p. We prove that if M is a kE-module of stable constant Jordan type [a1]...[at] with ∑ jaj ≤ min(r − 1, p − 2) then a1 = ... = at = 1. The proof uses the theory of Chern classes of vector bundles on projective space.
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页码：29 / 33
页数：4
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