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
|
Project Status |
Completed (Fiscal Year 2013)
|
Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
Keywords | Jacquet加群 / 半単純Lie群 / 放物型誘導表現 / 既約表現 / 半単純リー群 / ジャッケ加群 |
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.
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Report
(4 results)
Research Products
(46 results)