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Rectangular Schur functions and the basic representation of affine Lie algebras

Hiroshi Mizukawa·Hiro-Fumi Yamada
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Abstract

An expression is given for the plethysm $p_{2}\circ S_{\square}$, where $p_{2}$ is the power sum of degree two and $S_{\square}$ is the Schur function indexed by a rectangular partition. The formula can be well understood from the viewpoint of the basic representation of the affine Lie algebra of type $A_{2}^{(2)}$.

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Hiroshi Mizukawa, Hiro-Fumi Yamada. 2002-06-21. Rectangular Schur functions and the basic representation of affine Lie algebras. https://arxiv.org/abs/math/0206225

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