2015 Fiscal Year Final Research Report
Categorical representation theory and its applications to gnerating functions, dynamical systems and algebraic statistics
| Project/Area Number |
25400001
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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 | Hokusei Gakuen University (2015)
Hokkaido University (2013-2014) |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Keywords | 有限群の表現論 / 圏論 / バーンサイド環 / マッキー関手 / 代数学の応用 |
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| Outline of Final Research Achievements |
(1) Categorical representation theory is abstract theory in mathematics. But it has many application in math. Many results have been published or so will be.
(2) Universal zeta funcitons of categories have relations with much area of math, e.g., reconstruction conjecure for graphs and Yoneda's lemma.
(3) A new appplication of group theory to algebraic statistics was discovered. Camberra metric which appeared in lead isotopo method is also related to Numerical analysis.
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| Free Research Field |
代数学
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