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

Author:
Matthew Fayers

Journal:
Represent. Theory **14** (2010), 601-626

MSC (2010):
Primary 20C30, 20C20; Secondary 05E10

Published electronically:
September 1, 2010

MathSciNet review:
2685098

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Abstract | References | Similar Articles | Additional Information

Abstract: We consider the problem of which ordinary irreducible representations of the alternating group remain irreducible modulo a prime . We solve this problem for , and present a conjecture for odd , which we prove in one direction.

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Additional Information

**Matthew Fayers**

Affiliation:
Queen Mary, University of London, Mile End Road, London E1 4NS, United Kingdom

Email:
m.fayers@qmul.ac.uk

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

Received by editor(s):
February 15, 2007

Received by editor(s) in revised form:
July 3, 2010

Published electronically:
September 1, 2010

Additional Notes:
Part of this research was undertaken with the support of a Research Fellowship from the Royal Commission for the Exhibition of 1851. The author is very grateful to the Commission for its generous support.

Part of this research was undertaken while the author was visiting the Massachusetts Institute of Technology as a Postdoctoral Fellow. He is very grateful to Professor Richard Stanley for the invitation, and to M.I.T. for its hospitality.

Article copyright:
© Copyright 2010
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.