arXiv:math/0206225 Abstract

arXiv:math/0206225 [math.CO]Abstract References Reviews Resources

Rectangular Schur functions and the basic representation of affine Lie algebras

Published 2002-06-21Version 1

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 $A_{2}^{(2)}$.

Comments: 16 pages

Categories: math.CO, math.RT

Subjects: 05E05, 17B65

Keywords: affine lie algebra, rectangular schur functions, basic representation, power sum, rectangular partition

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