Compound basis arising from the basic \(A^{(1)}_{1}\)-module

DOI10.1007/s11005-008-0248-5zbMath1233.05207arXiv0801.2818OpenAlexW1964753525MaRDI QIDQ1024834

Kazuya Aokage, Hiroshi Mizukawa, Hiro-Fumi Yamada

Publication date: 17 June 2009

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.2818

zbMATH Keywords

Schur functionsaffine Lie algebrastransition matrices

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Cites Work

• Elementary divisors of Cartan matrices for symmetric groups.
• Mixed expansion formula for the rectangular Schur functions and the affine Lie algebra \(A_1^{(1)}\)
• Shifted tableaux and the projective representations of symmetric groups
• Polynomial \(\tau\)-functions of the NLS-Toda hierarchy and the Virasoro singular vectors.
• Compound basis for the space of symmetric functions
• Reduced Schur Functions and the Littlewood-Richardson Coefficients
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