2010 Fiscal Year Final Research Report
Modular and integral representations of finite groups and algebras
| Project/Area Number |
19540044
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Osaka City University |
|---|
Principal Investigator |
KAWATA Shigeto Osaka City University, 大学院・理学研究科, 准教授 (50195103)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
KANEDA Masaharu 大阪市立大学, 大学院・理学研究科, 教授 (60204575)
ASASHIBA Hideto 静岡大学, 理学部, 教授 (70175165)
KADO Jiro 大阪市立大学, 大学院・理学研究科, 講師 (10117939)
|
|---|
| Project Period (FY) |
2007 – 2010
|
| Keywords | 表現論 / 有限群 / 群環 / 多元環 / 概分裂列 / Auslander-Reiten有向グラフ |
|---|
| Research Abstract |
We gave a proof of the indecomposability for certain Heller lattices over integral group rings. Also, we investigated the Auslander-Reiten quiver of an integral group ring, and we showed that Auslander-Reiten components containing trivial source lattices belonging to a block of infinite representation type are of type A-infinity and trivial source lattices lie at the end of their components.
|
