A noncommutative extension of the coincidence of dimensions
| Project/Area Number |
22540003
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Muroran Institute of Technology |
|---|
Principal Investigator |
MORITA Hideaki 室蘭工業大学, 工学研究科, 准教授 (90435412)
|
|---|
| Project Period (FY) |
2010 – 2012
|
| Project Status |
Completed (Fiscal Year 2012)
|
| Budget Amount *help |
¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
|
|---|
| Keywords | (非可換)対称函数 / 対称群 / 次数表現 / （非可換）対称函数 / 非可換対称関数 / ホール=リトルウッド関数 / スプリンガー加群 / マクドナルド多項式 / 1のベキ根 / ハグルンドーハマン-レオア公式 |
|---|
| Research Abstract |
The Springer modules for the symmetric group have a certaincombinatorial property called the coincidence of dimensions. The reporter succeeded ingiving the property an interpretations in terms of representation theory of the symmetricgroup, based on the factorization formula for the Hall-Littlewood functions. In this study, Ihave intended to extend this theory in a noncommutative setting, and have succeeded ingiving a proper noncommutative extension of the Hall-Littlewood functions in my point ofview.
|
Report
(4 results)
Research Products
(13 results)
