Dimensions of the irreducible representations of the symmetric and alternating group

作者：Debaene Korneel^*

来源：ELECTRONIC JOURNAL OF COMBINATORICS, 2016, 23(3): P3.49.

DOI：10.37236/4909

• Representations
• Symmetric group
• Alternating group
• Hook Formula
• Primes in short intervals

We establish the existence of an irreducible representation of An whose dimension does not occur as the dimension of an irreducible representation of Sn, 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.

• 出版日期2016-9-30