The Projective Cover of the Trivial Representation for a Finite Group of Lie Type in Defining Characteristic

• 来源期刊: 代数集刊（英文版）
• 关键词: modular representations projective cover of trivial module finite groups of Lie type in defining characteristic
• 年，卷（期）: 2017,（3）
• 页码范围: 439-452
• 页数: 14页
• 语种: 英文
• DOI: 10.1142/S1005386717000281

摘要

We give a lower bound of the Loewy length of the projective cover of the trivial module for the group algebra kG of a finite group G of Lie type defined over a finite field of odd characteristic p,where k is an arbitrary field of characteristic p.The proof uses Auslander-Reiten theory.