| Project/Area Number |
23740002
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Tohoku University |
|---|
Principal Investigator |
TANAKA Hajime 東北大学, 大学院・情報科学研究科, 准教授 (50466546)
|
|---|
| Project Period (FY) |
2011 – 2012
|
| Project Status |
Completed (Fiscal Year 2012)
|
| Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
|
|---|
| Keywords | 光学赤外線天文学 / 観測装置開発 / アソシエーションスキーム / 距離正則グラフ / Terwilliger 代数 / デザイン理論 / 半正定値計画法 / Terwilliger代数 / 直交多項式 |
|---|
| Research Abstract |
Association schemes are certain special decompositions of complete graphs, and provide a unified framework to experimental designs, error-correcting codes, combinatorial designs, and so on. I worked on developing applications of new tools such as semidefinite programming and the Terwilliger algebra, which is a noncommutative semisimple algebra associated with each vertex of an association scheme. In particular, I obtained (among other results) the so-called Fisher-type inequality for relative t-designs as well as a new intersection theorem in extremal set theory. These results should demonstrate the power of these new tools.
|
