关于对称群特征标的Kronecker积的(几乎)极分支
On (almost) extreme components in Kronecker products of characters of the symmetric groups
摘要:
利用Dvir给出的一个递推公式,得到了对称群特征标的Kronecker积的极大和几乎极大分量的信息.这被应用于证实了Bessenrodt和Kleshchev在1999年提出的一个猜想,该猜想将所有这样的Kronecker积分类为只有三个或四个分量。
英文摘要:
Using a recursion formula due to Dvir, we obtain information on maximal and almost maximal components in Kronecker products of characters of the symmetric groups. This is applied to confirm a conjecture made by Bessenrodt and Kleshchev in 1999, which classifies all such Kronecker products with only three or four components.
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