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Lefschetz invariants and Young characters for representations of the hyperoctahedral groups
http://hdl.handle.net/10258/00009673
http://hdl.handle.net/10258/00009673341a79fc-141c-4cc2-a855-7a3760781326
名前 / ファイル | ライセンス | アクション |
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JA_512_1_19 (161.3 kB)
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Item type | 学術雑誌論文 / Journal Article.(1) | |||||||||||
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公開日 | 2018-08-09 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | Lefschetz invariants and Young characters for representations of the hyperoctahedral groups | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
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 | Character ring | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Hyper octahedral group | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Lefschetz invariant | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Parabolic subgroup | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Sign character | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Symmetric group | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Young subgroup | |||||||||||
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 |
小田, 文仁
× 小田, 文仁× 竹ケ原, 裕元
WEKO
18135
× 吉田, 知行 |
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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 | The ring R(Bn) of virtual C-characters of the hyperoctahedral group Bn has two Z-bases consisting of permutation characters, and the ring structure associated with each basis of them defines a partial Burnside ring of which R(Bn) is a homomorphic image. In particular, the concept of Young characters of Bn arises from a certain set Un of subgroups of Bn, and the Z-basis of R(Bn) consisting of Young characters, which is presented by L. Geissinger and D. Kinch [7], forces R(Bn) to be isomorphic to a partial Burnside ring Ω(Bn; Un). The linear C-characters of Bn are analyzed with reduced Lefschetz invariants which characterize the unit group of Ω(Bn; Un). The parabolic Burnside ring PB(Bn) is a subring of Ω(Bn; Un), and the unit group of PB(Bn) is isomorphic to the four group. The unit group of the parabolic Burnside ring of the even- signed permutation group Dn is also isomorphic to the four group. |
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言語 | en | |||||||||||
書誌情報 |
en : Journal of Algebra 巻 512, p. 1-19, 発行日 2018-10-15 |
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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.2018.07.001 | ||||||||||||
https://doi.org/10.1016/j.jalgebra.2018.07.001 | ||||||||||||
DOI | ||||||||||||
関連タイプ | isVersionOf | |||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | 10.1016/j.jalgebra.2018.07.001 | |||||||||||
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 | 00218693 | |||||||||||
権利 | ||||||||||||
言語 | en | |||||||||||
権利情報 | © 2018. 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 |