Dimensions of the Irreducible Representations of the Symmetric and Alternating Group

Electronic Journal Of Combinatorics

Korneel Debaene¹ 

关键词: Representations;    Symmetric group;    Alternating group;    Hook Formula;    Primes in short intervals;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

We establish the existence of an irreducible representation of $A_n$ whose dimension does not occur as the dimension of an irreducible representation of $S_n$, and vice versa. This proves a conjecture by Tong-Viet. The main ingredient in the proof is a re

【 授权许可】

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