Wreath Generalization of Littlewood Reciprocity

Published 9 Jun 2025 in math.CO and math.RT | (2506.07727v1)

Abstract: We generalize Littlewood's reciprocity formula for the restriction coefficients between $\mathrm{GL}_n(\mathbb{C})$ and the symmetric group of permutation matrices $\mathfrak{S}_n$ to the case of the wreath product groups $\mu_m^n\rtimes \mathfrak{S}_n $.

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Milo Bechtloff Weising

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