子群优化
Subgroup Majorization
摘要：
将优序化（也称为重排序）扩展到比对称（置换）群更一般的群，称为$G$ -优序化。在$G$是一个反射群的情况下有强有力的结果，本文建立在这个理论的方向上的子群，正规子群，商群和扩展。研究了基本锥和保序函数的意义。考虑的主要例子是超八面体群，它作用于$\mathbb R^n$中的矢量，置换和改变分量的符号。
英文摘要：
The extension of majorization (also called the rearrangement ordering), to more general groups than the symmetric (permutation) group, is referred to as $G$-majorization. There are strong results in the case that $G$ is a reflection group and this paper builds on this theory in the direction of subgroups, normal subgroups, quotient groups and extensions. The implications for fundamental cones and order-preserving functions are studied. The main example considered is the hyperoctahedral group, which, acting on a vector in $\mathbb R^n$, permutes and changes the signs of components.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
