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On a Zelevinsky Theorem and the Schur Indices of the Finite Unitary Groups
http://hdl.handle.net/2261/1365
http://hdl.handle.net/2261/13657ef9bdcc-fb07-4160-902e-30149d45b203
名前 / ファイル | ライセンス | アクション |
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jms040208.pdf (172.8 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | On a Zelevinsky Theorem and the Schur Indices of the Finite Unitary Groups | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Ohmori, Zyozyu
× Ohmori, Zyozyu |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let $G$ be the finite unitary group $U_n(\hbox{\tenbx F}_q)$ over a finite field $\hbox{\tenbx F}_q$ of characteristic $p$. Let $U$ be a Sylow $p$-subgroup of $G$. We prove that, for any irreducible character $χ$ of $G$ that is contained in a certain class, there is a linear character $λ$ of $U$ such that $(λ^G, χ)_G=1$. As an application, we shall determine the local Schur indices of an irreducible character of $G$ which belongs to such class. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 4, 号 2, p. 417-433, 発行日 1997 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR1466354 | ||||||
Mathmatical Subject Classification | ||||||
20G05(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1996-09-25 |