On the Littlewood-Richardson rule for almost skew-shapes

Boffi, Giandomenico; Buchsbaum, David

doi:10.1090/S0002-9939-07-09339-2

On the Littlewood-Richardson rule for almost skew-shapes
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by Giandomenico Boffi and David A. Buchsbaum

Proc. Amer. Math. Soc. 136 (2008), 1155-1161

DOI: https://doi.org/10.1090/S0002-9939-07-09339-2

Published electronically: December 28, 2007

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Abstract:

We describe combinatorially the coefficients occurring in the irreducible decomposition of the Weyl module associated with an almost skew-shape belonging to the family $J$. The proof uses the fundamental exact sequence for almost skew-shapes to initiate an inductive procedure which ultimately reduces to the classical Littlewood-Richardson rule for skew partitions.

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