A superplethystic formula for superrestriction coefficients
arXiv:2607.14939
summary
The paper introduces a superplethystic version of Littlewood's formula to compute restriction coefficients when an irreducible supermodule of the Schur superalgebra S(m,n;d) is restricted to the subgroup S_m × S_n, and applies this to obtain unimodality results for bipartite superpartitions.
Abstract
The Schur superalgebra contains as a multiplicative subgroup. We consider the problem of determining the restriction coefficients when an irreducible supermodule of is restricted to . 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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Topics & keywords
#schur superalgebra#restriction coefficients#superplethysm#littlewood's formula#bipartite superpartitions#unimodalitySchur superalgebrasupermodulesuperplethystic formularestriction coefficientsunimodalitybipartite superpartitions