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  1. 100 全学教育機構
  2. 1001 学術論文

Cohomology Algebras of Blocks of Finite Groups and Brauer Correspondence II

http://hdl.handle.net/10091/16145
eaa797f9-0abe-4c7f-abbc-7a4b9767ff41
名前 / ファイル ライセンス アクション
cohomology-BrauerII.pdf cohomology-BrauerII.pdf (161.7 kB)
Item type 学術雑誌論文 / Journal Article(1)
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
キーワード
主題Scheme Other
主題 Finite group
キーワード
主題Scheme Other
主題 Block
キーワード
主題Scheme Other
主題 Source modules
キーワード
主題Scheme Other
主題 Brauer correspondence
キーワード
主題Scheme Other
主題 Green correspondence
キーワード
主題Scheme Other
主題 Hochschild cohomology
キーワード
主題Scheme Other
主題 Block cohomology
キーワード
主題Scheme Other
主題 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

WEKO 45901

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
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
DOI
関連識別子
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
関連名称 10.1007/s10468-009-9131-z
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
URL http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000279127300004
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