| Project/Area Number |
10640005
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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 |
NOZAWA Sohei Chiba Univ. Faculty of Science Professor, 理学部, 教授 (20092083)
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| Co-Investigator(Kenkyū-buntansha) |
ANDO Tetsuya Chiba Univ. Faculty of Science A. Prof., 理学部, 助教授 (20184319)
KITAZUME Masaaki Chiba Univ. Faculty of Science A. Prof., 理学部, 助教授 (60204898)
KOSHITANI Shigeo Chiba Univ. Faculty of Science Professor, 理学部, 教授 (30125926)
MATSUDA Shigeki Chiba Univ. Faculty of Science Assistant, 理学部, 助手 (90272301)
NISHIDA Koji Chiba Univ. Faculty of Science A. Prof., 大学院・自然科学研究科, 助教授 (60228187)
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| Project Period (FY) |
1998 – 1999
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| Project Status |
Completed (Fiscal Year 1999)
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| Budget Amount *help |
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 1999: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 1998: ¥1,700,000 (Direct Cost: ¥1,700,000)
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| Keywords | finite group / Sharp character / representation diagram |
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| Research Abstract |
In this research we considered the representation theoretic structure of finite groups, algebras and vertex operator algebras. The results obtained are as follows.
1.Determination of finite groups in which squares of characters are few irreducible constituents.
2.For a group of p-length 1 with Sylow p-subgroup P, we give some necessary and sufficient conditions for N(P)/P to be abelian.
3.Some conditions for two bolck ideals to be Morita equivalent.
4.Construct a series of vertex operator algebras associated with self orthogonal ternary codes.
5.The Loewy and socle series of the Green correspondents of all simple FMィイD212ィエD2-modules with respect to the normalizers of their vertices were determined.
6.An explicit construction of the non-split extension, which is a maximal subgroup of Fischer's largest 3-transposition group FィイD224ィエD2.
7.We tried to establish the theory of Hibert-Samuel function taking values in a Grothendieck group.
These results have been published, or will be published in Journal of Algebra, J. London Math. Soc and so on.
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