| Project/Area Number |
25400215
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Foundations of mathematics/Applied mathematics
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| Research Institution | Kobe Gakuin University |
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Principal Investigator |
Ikuta Takuya 神戸学院大学, 法学部, 教授 (70271111)
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| Co-Investigator(Kenkyū-buntansha) |
MUNEMASA AKIHIRO 東北大学, 大学院情報科学研究科, 教授 (50219862)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 複素アダマール行列 / type-II行列 / アソシエーション・スキーム / Bose-Mesner代数 / 野村代数 / type-II 行列 / Nomura algebra / Haagerup set |
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| Outline of Final Research Achievements |
The aim of this research is to construct infinite series of complex Hadamard matrices, and more generally, type-II matrices, in the Bose--Mesner algebra of a certain symmetric association scheme. In particular, we recover the complex Hadamard matrices of order 15 found by Ada Chan. We compute the Haagerup sets to show inequivalence of resulting type-II matrices, and determine the Nomura algebras to show that the resulting matrices are not decomposable into generalized tensor products.
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