2016 Fiscal Year Final Research Report
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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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Keywords | 球デザイン / グラフ / 整数格子 / 有限群 / 線形符号 |
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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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| Free Research Field |
代数的組合せ論
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