2013 Fiscal Year Final Research Report
Study of representation theory of semisimple Lie groups via Jacquet modules
| Project/Area Number |
23740004
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Hokkaido University |
|---|
Principal Investigator |
ABE Noriyuki 北海道大学, 創成研究機構, 特任助教 (00553629)
|
|---|
| Project Period (FY) |
2011 – 2013
|
| Keywords | Jacquet加群 / 半単純Lie群 / 放物型誘導表現 |
|---|
| Research Abstract |
I studied the representation theory of a semisimple Lie group. A semisimple Lie group is a class of a continuous group. One example is a orthogonal group which consists of rotations. I especially studied parabolically induced representations via describing its Jacquet module explicitly. I showed some properties of parabolically induced representations which is important to calculate its Jacquet modules.
|
