Constructions of spherical designs using finite groups and lattices
| Project/Area Number |
26400003
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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 |
Algebra
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| Research Institution | Tohoku University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
須田 庄 愛知教育大学, 教育学部, 講師 (30710206)
三枝崎 剛 山形大学, 地域教育文化学部, 准教授 (60584068)
篠原 雅史 滋賀大学, 教育学部, 講師 (70432903)
野崎 寛 愛知教育大学, 教育学部, 講師 (80632778)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | 球デザイン / グラフ / 整数格子 / 有限群 / 線形符号 / 代数的組合せ論 / 組合せデザイン / グラフ理論 / 有限体 |
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| Outline of Final Research Achievements |
In connection with spherical designs, we investigated spectra of graphs and finite permutation groups. We have found a highly nontrivial method of switching for constructing cospectral mates of graphs to give an alternative construction of the twisted Grassmann graphs. Other achievements includes extension of previously known properties of subsets of a sphere derived from association schemes.
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Report
(4 results)
Research Products
(38 results)
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[Presentation] Q多項式スキーム2014
Author(s)
須田庄
Organizer
代数的組合せ論夏の学校
Place of Presentation
秋保リゾートホテルクレセント
Year and Date
2014-06-17
Related Report
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