A framework of representation theory of the Steenrod algebra
| Project/Area Number |
24540091
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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 |
Geometry
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| Research Institution | Osaka Prefecture University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
入江 幸右衛門 大阪府立大学, 理学(系)研究科(研究院), 教授 (40151691)
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| Project Period (FY) |
2012-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 表現論 / ファイバー圏 / スティーンロッド代数 / 群対象の表現論 / 双対スティーンロッド代数 / representation theory / fibered category / 圏論 |
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| Outline of Final Research Achievements |
We formulate the notion of representation of group objects in terms of fibered category and introduce a notion called “cartesian closed fibered category” which generalizes the notion of cartesian closed category in terms of fibered category. We develop a fundamental theory of representation of group objects under the framework of this category. We develop a general theory on categories enriched by topological spaces, namely, categories with each set of morphisms between two objects has a topology.
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Report
(7 results)
Research Products
(13 results)
