| ID | 32956 |
| FullText URL | |
| Author |
Ikeda, Takeshi
Mizukawa, Hiroshi
Nakajima, Tatsuhiro
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| Abstract | 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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| Keywords | Schur function
Schur's Q-function
Boson-fermion correspondence
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| Note | 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. |
| Published Date | 2008-05
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| Publication Title |
Advances in Applied Mathematics
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| Volume | volume40
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| Issue | issue4
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| Publisher | Academic Press Inc Elsevier Science
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| Start Page | 514
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| End Page | 535
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| ISSN | 0196-8858
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| NCID | AA00064869
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | © 2007 Elsevier Inc. All rights reserved.
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| File Version | author
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| Refereed |
True
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| DOI | |
| Web of Science KeyUT | |
| Submission Path | applied_mathematics/1
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