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Cohomology Algebras of Blocks of Finite Groups and Brauer Correspondence II
http://hdl.handle.net/10091/16145
http://hdl.handle.net/10091/16145eaa797f9-0abe-4c7f-abbc-7a4b9767ff41
| 名前 / ファイル | ライセンス | アクション |
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cohomology-BrauerII.pdf (161.7 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||
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| 公開日 | 2012-12-19 | |||||||
| タイトル | ||||||||
| タイトル | Cohomology Algebras of Blocks of Finite Groups and Brauer Correspondence II | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| DOI | ||||||||
| 関連識別子 | https://doi.org/10.1007/s10468-009-9131-z | |||||||
| 関連名称 | 10.1007/s10468-009-9131-z | |||||||
| キーワード | ||||||||
| 主題 | Finite group, Block, Source modules, Brauer correspondence, Green correspondence, Hochschild cohomology, Block cohomology, Block variety | |||||||
| 資源タイプ | ||||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||||
| タイプ | journal article | |||||||
| 著者 |
Sasaki, Hiroki
× Sasaki, Hiroki
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| 信州大学研究者総覧へのリンク | ||||||||
| 氏名 | Sasaki, Hiroki | |||||||
| URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.gNypyVSp.html | |||||||
| 出版者 | ||||||||
| 出版者 | SPRINGER | |||||||
| 引用 | ||||||||
| 内容記述 | ALGEBRAS AND REPRESENTATION THEORY. 13(4):445-465 (2010) | |||||||
| 書誌情報 |
ALGEBRAS AND REPRESENTATION THEORY 巻 13, 号 4, p. 445-465, 発行日 2010-08 |
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| 抄録 | ||||||||
| 内容記述 | Let k be an algebraically closed field of characteristic p. We shall discuss the cohomology algebras of a block ideal B of the group algebra kG of a finite group G and a block ideal C of the block ideal of kH of a subgroup H of G which are in Brauer correspondence and have a common defect group, continuing (Kawai and Sasaki, Algebr Represent Theory 9(5):497-511, 2006). We shall define a (B,C)-bimodule L. The k-dual L (*) induces the transfer map between the Hochschild cohomology algebras of B and C, which restricts to the inclusion map of the cohomology algebras of B into that of C under some condition. Moreover the module L induces a kind of refinement of Green correspondence between indecomposable modules lying in the blocks B and C; the block varieties of modules lying in B and C which are in Green correspondence will also be discussed. | |||||||
| 資源タイプ（コンテンツの種類） | ||||||||
| ISSN | ||||||||
| 収録物識別子タイプ | ISSN | |||||||
| 収録物識別子 | 1386-923X | |||||||
| 書誌レコードID | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| 収録物識別子 | AA11256919 | |||||||
| 権利 | ||||||||
| 権利情報 | The final publication is available at www.springerlink.com | |||||||
| 出版タイプ | ||||||||
| 出版タイプ | AM | |||||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||
| WoS | ||||||||
| URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000279127300004 | |||||||
