论文标题
对称组的花圈产品的Specht模块分支规则
Specht module branching rules for wreath products of symmetric groups
论文作者
论文摘要
我们回顾了两个对称组的花环产品S（M）WR S（N）的模块，这些模块类似于对称组的SpecHT模块，并证明了该模块系列的一对分支规则。这些分支规则描述了这些花圈产品SpepHT模块的行为，该模块限制在花圈产品S（M-1）WR S（N）和S（M）WR S（N-1）的行为。特别是，我们看到对花圈产品SpecHT模块的这些限制具有SpecHT模块过滤，并且我们获得了这些过滤中多重性的组合解释。
We review a class of modules for the wreath product S(m) wr S(n) of two symmetric groups which are analogous to the Specht modules of the symmetric group, and prove a pair of branching rules for this family of modules. These branching rules describe the behaviour of these wreath product Specht modules under restriction to the wreath products S(m-1) wr S(n) and S(m) wr S(n-1). In particular, we see that these restrictions of wreath product Specht modules have Specht module filtrations, and we obtain combinatorial interpretations of the multiplicities in these filtrations.
