当前位置: X-MOL 学术J. Algebra › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
A Cluster tilting module for a representation-infinite block of a group algebra
Journal of Algebra ( IF 0.8 ) Pub Date : 2021-07-21 , DOI: 10.1016/j.jalgebra.2021.06.037
Bernhard Böhmler 1 , René Marczinzik 2
Affiliation  

Let G=SL(2,5) be the special linear group of 2×2-matrices with coefficients in the field with 5 elements. We show that the principal block over a splitting field K of characteristic two of the group algebra KG has a 3-cluster tilting module. This gives the first example of a representation-infinite block of a group algebra having a cluster tilting module and answers a question by Erdmann and Holm.



中文翻译:

群代数表示无限块的集群倾斜模块

G=(2,5) 是特殊的线性群 2×2- 具有 5 个元素的字段中的系数的矩阵。我们表明,群代数KG的特征二的分裂域K上的主块具有 3 簇倾斜模块。这给出了具有集群倾斜模块的群代数的无限表示块的第一个示例,并回答了 Erdmann 和 Holm 的问题。

更新日期:2021-07-21
down
wechat
bug