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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,
Yamada, Hiro-Fumi Department of Mathematics, Okayama University
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.
キーワード
Schur function
Schur's Q-function
Boson-fermion correspondence
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
出版物タイトル
Advances in Applied Mathematics
40巻
4号
出版者
Academic Press Inc Elsevier Science
開始ページ
514
終了ページ
535
ISSN
0196-8858
NCID
AA00064869
資料タイプ
学術雑誌論文
言語
English
著作権者
© 2007 Elsevier Inc. All rights reserved.
論文のバージョン
author
査読
有り
DOI
Web of Sience KeyUT
Submission Path
applied_mathematics/1