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