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Induction formulae for Mackey functors with applications to representations of the twisted quantum double of a finite group
http://hdl.handle.net/10258/00008884
http://hdl.handle.net/10258/0000888482653ddb-1f71-4944-92c7-6733f0741fc3
名前 / ファイル | ライセンス | アクション |
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JOA_410_85-147.pdf (503.1 kB)
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Item type | 学術雑誌論文 / Journal Article.(1) | |||||||||||
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公開日 | 2016-05-16 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | Induction formulae for Mackey functors with applications to representations of the twisted quantum double of a finite group | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Brauer's induction theorem | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Burnside ring | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Green functor | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Representation ring | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Mackey functor | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Plus construction | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Twin functor | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Twisted group algebra | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Twisted quantum double | |||||||||||
資源タイプ | ||||||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||
資源タイプ | journal article | |||||||||||
アクセス権 | ||||||||||||
アクセス権 | open access | |||||||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||
著者 |
竹ケ原, 裕元
× 竹ケ原, 裕元
WEKO
18135
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室蘭工業大学研究者データベースへのリンク | ||||||||||||
竹ケ原 裕元(TAKEGAHARA Yugen) | ||||||||||||
http://rdsoran.muroran-it.ac.jp/html/100000217_ja.html | ||||||||||||
抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | In the theory of canonical induction formulae for Mackey functors, Boltje demonstrated that the plus constructions, together with the mark morphism, are useful for the study of canonical versions of induction theorems analogous to those in representation theory of finite groups. In this paper, we present a short exact sequence for the plus constructions derived from Cauchy–Frobenius lemma, and apply it to the proof of Boltje's integrality result for canonical induction formulae. The methods appearing in Boltje's theory, combined with the Dress construction for Mackey functors, are applicable to induction theorems on representations of the twisted quantum double of a finite group. As a sequel to such a research, we describe canonical versions of two induction theorems whose origins are Artin's induction theorem and Brauer's induction theorem on C-characters of a finite group. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
en : Journal of Algebra 巻 410, p. 85-147, 発行日 2014-07-15 |
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出版者 | ||||||||||||
言語 | en | |||||||||||
出版者 | Elsevier | |||||||||||
出版者版へのリンク | ||||||||||||
10.1016/j.jalgebra.2014.03.017 | ||||||||||||
https://doi.org/10.1016/j.jalgebra.2014.03.017 | ||||||||||||
DOI | ||||||||||||
関連タイプ | isVersionOf | |||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | 10.1016/j.jalgebra.2014.03.017 | |||||||||||
日本十進分類法 | ||||||||||||
主題Scheme | NDC | |||||||||||
主題 | 411 | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | PISSN | |||||||||||
収録物識別子 | 0021-8693 | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | EISSN | |||||||||||
収録物識別子 | 1090-266X | |||||||||||
書誌レコードID | ||||||||||||
収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AA00692420 | |||||||||||
書誌レコードID | ||||||||||||
収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AA11541904 | |||||||||||
権利 | ||||||||||||
言語 | en | |||||||||||
権利情報 | © 2014. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | |||||||||||
著者版フラグ | ||||||||||||
出版タイプ | AM | |||||||||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||||
フォーマット | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | application/pdf |