Geodesic
Dimensions of the irreducible representations of the symmetric and alternating group
Korneel Debaene1
1Georg-August-Universität Göttingen
The electronic journal of combinatorics, Tome 23 (2016) no. 3
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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 result on large prime factors in short intervals.
DOI : 10.37236/4909
Classification : 20C30, 20C15, 20D06, 20D60
Mots-clés : representations, symmetric group, alternating group, hook formula, primes in short intervals

Korneel Debaene  1

1 Georg-August-Universität Göttingen 
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Korneel Debaene. Dimensions of the irreducible representations of the symmetric and alternating group. The electronic journal of combinatorics, Tome 23 (2016) no. 3. doi: 10.37236/4909

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