| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2021: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2020: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
Let p be a prime, F a field of characteristic p. We consider representations over F. We proved the standard module of a p-scheme is indecomposable. We decided the indecomposable decomposition of an association scheme obtained by repeated wreath products of class 2 association schemes. For a schurian scheme, we proved that the standard module is indecomposable if and only if the scheme is a p-scheme. This is not true for non-schurian schemes. We considered the double centralizer of the adjacency algebra in the full matrix algebra, and proved that the double centralizer is equal to the adjacency algebra if the rank of the scheme is at most 3. We also gave examples such that the double centralizer is not equal to the adjacency algebra of a scheme of rank greater than 3.
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