Rectangular Schur functions and the basic representation of affine Lie algebras

Details Rectangular Schur functions and the basic representation of affine Lie algebras Rectangular Schur functions and the basic representation of affine Lie algebras

2002-06-21

arxiv.org/abs/math/0206225v1

Mathematics

Combinatorics

16 pages

Scientific paper

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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