一类对称群字符对合的组合证明

IF 0.4 4区数学 Q4 MATHEMATICS

American Mathematical Monthly Pub Date : 2023-08-14 DOI:10.1080/00029890.2023.2242042

P. Renteln

引用次数: 0

摘要

基于对称群特征恒等式χλχ（1n）=χλ（cid:48）的Murnaghan-Nakayama规则，我们给出了一个简短的组合证明，其中λ（cid:48）是配分λ的共轭。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Combinatorial Proof of a Symmetric Group Character Involution

We give a short combinatorial proof based on the Murnaghan-Nakayama rule of the symmetric group character identity χ λ χ (1 n ) = χ λ (cid:48) , where λ (cid:48) is the conjugate of the partition λ .

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来源期刊

American Mathematical Monthly Mathematics-General Mathematics

CiteScore

0.80

自引率

20.00%

发文量

127

审稿时长

6-12 weeks

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