| ID | 32956 |
| フルテキストURL | |
| 著者 |
Ikeda, Takeshi
Department of Applied Mathematics, Okayama University of Science
Mizukawa, Hiroshi
Department of Mathematics, National Defense Academy
Nakajima, Tatsuhiro
Faculty of Economics, Meikai University,
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| 抄録 | Formulas are obtained that express the Schur S-functions indexed by Young diagrams of rectangular shape as linear combinations of "mixed" products of Schur's S- and Q-functions. The proof is achieved by using representations of the affine Lie algebra of type A(1)((1)). A realization of the basic representation that is of "D-2((2))"-type plays the central role.
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| キーワード | Schur function
Schur's Q-function
Boson-fermion correspondence
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| 備考 | Published with permission from the copyright holder.
This is a author's copy,as published in Advances in Applied Mathematics, 2008 Vol.40 Issue.4 pp.514-535 Publisher URL: http://dx.doi.org/10.1016/j.aam.2007.05.003 Direct access to Thomson Web of Science record Copyright © 2007 Elsevier Inc. |
| 発行日 | 2008-05
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| 出版物タイトル |
Advances in Applied Mathematics
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| 巻 | 40巻
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| 号 | 4号
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| 出版者 | Academic Press Inc Elsevier Science
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| 開始ページ | 514
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| 終了ページ | 535
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| ISSN | 0196-8858
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| NCID | AA00064869
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| 資料タイプ |
学術雑誌論文
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| 言語 |
英語
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| 著作権者 | © 2007 Elsevier Inc. All rights reserved.
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| 論文のバージョン | author
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| 査読 |
有り
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| DOI | |
| Web of Science KeyUT | |
| Submission Path | applied_mathematics/1
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