Dimensions of the irreducible representations of the symmetric and alternating group
K Debaene - arXiv preprint arXiv:1602.02168, 2016 - arxiv.org
K Debaene
arXiv preprint arXiv:1602.02168, 2016•arxiv.orgWe 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 result on large
prime factors in short intervals.
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 result on large
prime factors in short intervals.
We establish the existence of an irreducible representation of whose dimension does not occur as the dimension of an irreducible representation of , and vice versa. This proves a conjecture by Tong-Viet. The main ingredient in the proof is a result on large prime factors in short intervals.
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