2009 Fiscal Year Final Research Report
Modular Representation Theory of General Linear Groups
| Project/Area Number |
19740011
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Nagoya University |
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Principal Investigator |
MIYACHI Hyohe Nagoya University, 大学院・多元数理科学研究科, 助教 (90362227)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 代数学 / 表現論 |
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| Research Abstract |
We studied representation theory of general linear groups in positive characteristic and quantum groups at roots of unity by a standard method such as treating different ranks, a rather standard method such as treating those groups at the same time and our new method that we change the "quantum characteristics" and we compare their module categories. Here, the speciality of our approach is to start with a very special category and then to pass it in the derived categories so that we are able to compare general module categories.
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