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Kraśkiewicz-Pragacz Modules and Pieri and Dual Pieri Rules for Schubert Polynomials
http://hdl.handle.net/2261/00074377
http://hdl.handle.net/2261/00074377c7a8912c-b04b-48a4-b3e0-b44f2476b219
名前 / ファイル | ライセンス | アクション |
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jms240204.pdf (140.8 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2018-04-04 | |||||
タイトル | ||||||
タイトル | Kraśkiewicz-Pragacz Modules and Pieri and Dual Pieri Rules for Schubert Polynomials | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Schubert polynomials | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Kra\'skiewicz-Pragacz modules | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Watanabe, Masaki
× Watanabe, Masaki |
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著者所属 | ||||||
著者所属 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In their 1987 paper Kra\'skiewicz and Pragacz defined certain modules $\smod_w$ ($w \in S_\infty$), which we call KP modules, over the upper triangular Lie algebra whose characters are Schubert polynomials. In a previous work the author showed that the tensor product of KP modules always has a KP filtration, i.e. a filtration whose each successive quotients are isomorphic to KP modules. In this paper we explicitly construct such filtrations for certain special cases of these tensor product modules, namely $\smod_w \otimes S^d(K^i)$ and $\smod_w \otimes \bigwedge^d(K^i)$, corresponding to Pieri and dual Pieri rules for Schubert polynomials. | |||||
書誌情報 |
Journal of Mathematical Sciences The University of Tokyo 巻 24, 号 2, p. 259-270, 発行日 2017-03-21 |
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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 | |||||
著者版フラグ | ||||||
値 | publisher | |||||
Mathmatical Subject Classification | ||||||
05E05(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
05E10(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
17B30(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2016-10-03 |