2013 Fiscal Year Final Research Report
On the research of a geometric realization of subfactors and its applications
| Project/Area Number |
22540234
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Rikkyo University |
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Principal Investigator |
SATO Nobuya 立教大学, 理学部, 准教授 (60305662)
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| Project Period (FY) |
2010-10-20 – 2014-03-31
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| Keywords | 部分因子環 / paragroup / Q-system / コホモロジー群 / 幾何学的表現 / Weyl群 |
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| Research Abstract |
During the period of research, I obtained the following three results.
(1) I constructed a geometric representation of the unitary group of a type II_1 factor with a subfactor.(2) For a Q-system associated with a subfactor, I defined the cohomology groups up to degree three via the method of deviation.(3) I constructed a new example of the increasing sequence of Weyl groups defined by Argerami-Stojanoff and showed that in the most of cases the Weyl groups are trivial.
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