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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 | ||||||
言語 | en | |||||
タイトル | Cohomology Algebras of Blocks of Finite Groups and Brauer Correspondence II | |||||
言語 | ||||||
言語 | eng | |||||
DOI | ||||||
識別子タイプ | 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 | ||||||
内容記述タイプ | Other | |||||
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 | ||||||
内容記述タイプ | Abstract | |||||
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) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article | |||||
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 | ||||||
表示名 | Web of Science | |||||
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