论文标题

B型和C中各向同性司法的最低量子度

Minimum Quantum Degrees for Isotropic Grassmannians in Types B and C

论文作者

Shifler, Ryan M., Withrow, Camron

论文摘要

我们提供了一个公式,以年轻图来计算最低正整数$ d $,以便在两个类型的schubert类别的量子产品中出现$ q^d $,以B型和C中的量子产物出现。我们通过研究曲线社区来做到这一点。我们在多个组合模型中计算曲线邻域,包括$ k $ - strict分区和一组分区,其中包含与Bruhat Order兼容。

We give a formula in terms of Young diagrams to calculate the minimum positive integer $d$ such that $q^d$ appears in the quantum product of two Schubert classes for the submaximal isotropic Grassmannians in Types B and C. We do this by studying curve neighborhoods. We compute curve neighborhoods in several combinatorial models including $k$-strict partitions and a set of partitions where their inclusion is compatible with the Bruhat order.

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