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

DOI10.1016/J.AAM.2007.05.003zbMath1173.05356arXivmath/0512257OpenAlexW2060307745WikidataQ115362400 ScholiaQ115362400MaRDI QIDQ1031739

Hiroshi Mizukawa, Tatsuhiro Nakajima, Takeshi Ikeda, Hiro-Fumi Yamada

Publication date: 30 October 2009

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512257

zbMATH Keywords

Schur functionSchur's \(Q\)-functionBoson-Fermion correspondence

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (3)

Schur function identities arising from the basic representation of \(A^{(2)}_2\) ⋮ The expansion of immaculate functions in the ribbon basis ⋮ Compound basis arising from the basic \(A^{(1)}_{1}\)-module

Cites Work

• Solitons and infinite dimensional Lie algebras
• Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
• The 2-blocks of the covering groups of the symmetric groups
• Polynomial \(\tau\)-functions of the NLS-Toda hierarchy and the Virasoro singular vectors.
• Rectangular Schur functions and the basic representation of affine Lie algebras
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