扭曲Foulkes特征标的极小和极大分支
Minimal and maximal constituents of twisted Foulkes characters
摘要：
我们证明了组合规则，给出了最小和最大的分区标记的对称群，推广福克斯置换字符的字符族的不可约成分。用对称函数的语言重新表述，我们的结果确定了出现在体积函数s_v \circ s_（m）中的Schur函数的所有最小和最大划分.作为推论，我们证明了Agaoka关于体积函数s_v \circ s_（m）和s_v \circ s_（1 ^m）的字典序最小分支的两个定理.
英文摘要：
We prove combinatorial rules that give the minimal and maximal partitions labelling the irreducible constituents of a family of characters for the symmetric group that generalize Foulkes permutation characters. Restated in the language of symmetric functions, our results determine all minimal and maximal partitions that label Schur functions appearing in the plethysms s_ν\circ s_(m). As a corollary we prove two conjectures of Agaoka on the lexicographically least constituents of the plethysms s_ν\circ s_(m) and s_ν\circ s_(1^m).
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