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arXiv · 1309.4510

A Littlewood-Richardson rule for the MacDonald inner product and bimodules over wreath products

Erik Carlsson·Anthony M. Licata
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Abstract

We prove a Littlewood-Richardson type formula for $(s_{\lambda/\mu},s_{\nu/\kappa})_{t^k,t}$, the pairing of two skew Schur functions in the MacDonald inner product at $q = t^k$ for positive integers $k$. This pairing counts graded decomposition numbers in the representation theory of wreath products of the algebra $C[x]/x^k$ and symmetric groups.

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Erik Carlsson, Anthony M. Licata. 2013-09-18. A Littlewood-Richardson rule for the MacDonald inner product and bimodules over wreath products. https://arxiv.org/abs/1309.4510

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