Mixed expansion formula for the rectangular Schur functions and the affine Lie algebra A_1^(1)

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dc.creatorIkeda, Takeshi
dc.creatorMizukawa, Hiroshi
dc.creatorNakajima, Tatsuhiro
dc.creatorYamada, Hiro-Fumi
dc.date2005-12-13
dc.date2007-04-10
dc.date.accessioned2026-07-07T07:55:50Z
dc.date.available2026-07-07T07:55:50Z
dc.descriptionFormulas 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.
dc.description21pages
dc.identifierhttps://arxiv.org/abs/math/0512257
dc.identifierhttp://arxiv.org/abs/math/0512257
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127101
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject05E05;17B67
dc.titleMixed expansion formula for the rectangular Schur functions and the affine Lie algebra A_1^(1)
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