Representation theoretical research on algebraic structures of rings and module categories
Representation theoretical research on algebraic structures of rings and module categories
批准号:
21340003
负责人:
YAMAGATA Kunio
金额:
$10.9万
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (B)
财政年份:
2009
资助国家:
日本
项目状态:
已结题
起止时间:
2009 至 2011
中文摘要
我们研究了有限维代数的结构和代数上的模的范畴,取得了许多成果,包括开放问题的解。这些结果在国内或国际会议和专题讨论会上公布,并在英文期刊上发表。通过在东京组织一次代数表示的国际会议,我们对表示理论的发展做出了巨大的贡献。会议记录和一本基于我们研究的书的第一卷由欧洲数学学会出版。
英文摘要
We studied structures of finite dimensional algebras and categories of modules over the algebras, so that we have achieved many results including solutions of open problems. Those results were announced at domestic or international conferences and symposiums and were published in refereed journals in English. By organizing an international conference on representations of algebras in Tokyo, we made an enormous contribution to the development of the representation theory. The proceedings of the conference and the first volume of a book based on our research were published from the European Mathematical Society.
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On Alperin-Scott modules and related topics in representation theory of finite groups
有限群表示论中的 Alperin-Scott 模及相关主题
DOI:
--
发表时间:
2012
期刊:
影响因子:
--
作者:
[R.Kessar, S.Koshitani, M.Linckelmann, S. Koshitani, S. Koshitani, S. Koshitani, S. Koshitani, S. Koshitani, S. Koshitani, 越谷重夫]
通讯作者:
越谷重夫
Generalized characters and Cartan eigenvalues in finite groups
有限群中的广义特征和嘉当特征值
DOI:
--
发表时间:
2010
期刊:
影响因子:
--
作者:
[Koeda T, Seki A, Uchiyama H, 納谷信, 和田倶幸]
通讯作者:
和田倶幸
Relative projective cover works for Broues abelian defect group conjecture
Broues阿贝尔缺陷群猜想的相对射影覆盖工作
DOI:
--
发表时间:
2010
期刊:
影响因子:
--
作者:
[Francisco Martin, Masaaki Umehara and Kotaro Yamada, Naoko Kamada and Seiichi Kamada, 納谷信, Yuji Yoshino, 西山享, Masato Wakayama, 越谷重夫]
通讯作者:
越谷重夫
DOI:
10.1016/j.aim.2010.03.004
发表时间:
2008-09
期刊:
Advances in Mathematics
影响因子:
1.7
作者:
[O. Iyama]
通讯作者:
O. Iyama
可換不足群を持つ有限群のブロックについてのある注意
关于具有交换缺陷群的有限群块的一些注释
DOI:
--
发表时间:
2011
期刊:
影响因子:
--
作者:
[R.Kessar, S.Koshitani, M.Linckelmann, S. Koshitani, S. Koshitani, S. Koshitani, S. Koshitani, S. Koshitani, S. Koshitani, 越谷重夫, 越谷重夫, 越谷重夫]
通讯作者:
越谷重夫
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Study on representations of Morita algebras and homological dimensions
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批准号:16K05091
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项目类别:Grant-in-Aid for Scientific Research (C)
-
资助金额:$2.0万
-
财政年份:2016
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负责人:YAMAGATA Kunio
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依托单位:
Research on algebraic properties of categories of modules and structures of Frobenius algebras
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批准号:19540014
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$2.66万
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财政年份:2007
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负责人:YAMAGATA Kunio
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依托单位:
Investigation into algebraic structure of the category of representations of finite demensional algebras
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批准号:15540012
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$2.37万
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财政年份:2003
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负责人:YAMAGATA Kunio
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依托单位:
Investigation of algebras of infinite representation type
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批准号:12640014
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$2.24万
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财政年份:2000
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负责人:YAMAGATA Kunio
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依托单位:
海外基金