On the irreducible representations of the alternating group which remain irreducible in characteristic 𝑝

Fayers, Matthew

doi:10.1090/S1088-4165-2010-00390-8

On the irreducible representations of the alternating group which remain irreducible in characteristic $p$
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by Matthew Fayers

Represent. Theory 14 (2010), 601-626

DOI: https://doi.org/10.1090/S1088-4165-2010-00390-8

Published electronically: September 1, 2010

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Abstract:

We consider the problem of which ordinary irreducible representations of the alternating group $\mathfrak {A}_n$ remain irreducible modulo a prime $p$. We solve this problem for $p=2$, and present a conjecture for odd $p$, which we prove in one direction.

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