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arXiv · 2607.14939

A superplethystic formula for superrestriction coefficients

Tirtharaj Basu
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Abstract

The Schur superalgebra $S(m,n;d)$ contains $S_{m}\times S_{n}$ as a multiplicative subgroup. We consider the problem of determining the restriction coefficients when an irreducible supermodule of $S(m,n;d)$ is restricted to $S_{m}\times S_{n}$. We introduce two notions of superplethysm and provide a superplethystic variant of Littlewood's formula for these restriction coefficients. As an application, we provide several unimodality results for bipartite superpartitions.

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Tirtharaj Basu. 2026-07-16. A superplethystic formula for superrestriction coefficients. https://arxiv.org/abs/2607.14939

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