Irreducible representations

of the alternating group in odd characteristic

Author:
Ben Ford

Journal:
Proc. Amer. Math. Soc. **125** (1997), 375-380

MSC (1991):
Primary 20C20, 20C30

MathSciNet review:
1353385

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Abstract | References | Similar Articles | Additional Information

Abstract: We use the recently-proved conjecture of Mullineux to determine which modular irreducible representations of the symmetric group split on restriction to , and which remain irreducible (everything taking place over a splitting field for of characteristic ). An indexing of the absolutely irreducible representations of is thus obtained. A modular analogue of the Frobenius symbol for a partition is introduced, which makes the Mullineux map somewhat more intuitive.

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Additional Information

**Ben Ford**

Affiliation:
Department of Mathematics, University of Washington, Box 354350 Seattle, Washington 98195-4350

Address at time of publication:
Department of Mathematics, Case Western Reserve University, Cleveland, Ohio 44106

Email:
ford@math.washington.edu, bjf6@po.cwru.edu

DOI:
https://doi.org/10.1090/S0002-9939-97-03621-6

Received by editor(s):
August 28, 1995

Additional Notes:
Supported in part by the NSA

Thanks to Jens C. Jantzen for suggesting this question

Communicated by:
Ronald M. Solomon

Article copyright:
© Copyright 1997
American Mathematical Society