超限制系数的超 plethystic 公式
A superplethystic formula for superrestriction coefficients
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中文总结 AI 辅助
研究舒尔超代数\(S(m,n;d)\)的不可约超模限制到\(S_{m}\times S_{n}\)时的限制系数问题，通过引入超 plethysm 概念给出相关公式，并得到二分超划分的单峰性结果。
中文摘要 AI 辅助
舒尔超代数\(S(m,n;d)\)包含\(S_{m}\times S_{n}\)作为乘法子群。我们考虑确定\(S(m,n;d)\)的不可约超模限制到\(S_{m}\times S_{n}\)时的限制系数问题。引入超 plethysm 概念并给出这些限制系数的 Littlewood 公式的超 plethystic 变体。作为应用，给出了二分超划分的几个单峰性结果。
英文摘要
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.
