start-ver=1.4
cd-journal=joma
no-vol=40
cd-vols=
no-issue=4
article-no=
start-page=514
end-page=535
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2008
dt-pub=200805
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Mixed expansion formula for the rectangular Schur functions and the affine Lie algebra A(1)((1))
en-subtitle=
kn-subtitle=
en-abstract=
kn-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.
en-copyright=
kn-copyright=

en-aut-name=IkedaTakeshi
en-aut-sei=Ikeda
en-aut-mei=Takeshi
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=1
ORCID=

en-aut-name=MizukawaHiroshi
en-aut-sei=Mizukawa
en-aut-mei=Hiroshi
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=2
ORCID=

en-aut-name=NakajimaTatsuhiro
en-aut-sei=Nakajima
en-aut-mei=Tatsuhiro
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=3
ORCID=

en-aut-name=YamadaHiro-Fumi
en-aut-sei=Yamada
en-aut-mei=Hiro-Fumi
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=4
ORCID=

affil-num=1
en-affil=
kn-affil=Department of Applied Mathematics, Okayama University of Science

affil-num=2
en-affil=
kn-affil=Department of Mathematics, National Defense Academy

affil-num=3
en-affil=
kn-affil=Faculty of Economics, Meikai University,

affil-num=4
en-affil=
kn-affil=Department of Mathematics, Okayama University
en-keyword=Schur function
kn-keyword=Schur function
en-keyword=Schur's Q-function
kn-keyword=Schur's Q-function
en-keyword=Boson-fermion correspondence
kn-keyword=Boson-fermion correspondence
END