Solution of Broue's conjecture in representation Theory of finite groups
| Project/Area Number |
20540008
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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 |
Algebra
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| Research Institution | Chiba University |
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Principal Investigator |
KOSHITANI Shigeo Chiba University, 大学院・理学研究科, 教授 (30125926)
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| Co-Investigator(Renkei-kenkyūsha) |
NOZAWA Sohei 千葉大学, 普遍教育センター, 教授 (20092083)
KITAZUME Masaaki 千葉大学, 大学院・理学研究科, 教授 (60204898)
NISHIDA Koji 千葉大学, 大学院・理学研究科, 教授 (60228187)
MATSUDA Shigeki 千葉大学, 大学院・理学研究科, 教授 (90272301)
OTSUBO Noriyuki 千葉大学, 大学院・理学研究科, 准教授 (60332566)
KUNUGI Naoko 東京理科大学, 理学部・第一部, 講師 (50362306)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 表現論 / 有限群 / ブルエ予想 / ブロック / 森田同値 / 導来同値 / アルペリン予想 |
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| Research Abstract |
For the subject "Broue's conjecture" we have proven the following. First of all, we proved Broue's conjecture for one of the sporadic simple groups, say the Janko's simple group J4, joint work with N.Kunugi and K.Waki. Secondly, we proved the Broue's conjecture also for one of the sporadic simple groups, say Harada-Norton simple group HN, joint work with J.Mueller. We also proved a kind of tool by which we can find out trivial source modules, joint work with N.Kunugi. With M.Holloway and N.Kunugi, we proved also a theorem which was on Rouquier's conjecture. The conjecture is a kind of analogue of Broue's conjecture. Finally we proved a result on eigenvalues of the Cartan matrices of blocks of finite groups, jointly with Y.Yoshii.
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Report
(4 results)
Research Products
(33 results)
