The irreducible Specht modules in characteristic 2

Gordon James and Andrew Mathas

Keywords

Symmetric groups. Specht modules. irreducibility, modular representation theory.

Status

Bull. Lond. Math. Soc., 31 (1999), 457-462.
MR2000f:20018

Abstract

In the representation theory of finite groups it is useful to know which ordinary irreducible representations remain irreducible modulo a prime p. For the symmetric groups S_n this amounts to determining which Specht modules are irreducible over a field of characteristic p. Throughout this note we work in characteristic 2, and in this case we classify the irreducible Specht modules, thereby verifying the conjecture in [James, p. 97].

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Andrew Mathas
1st May 1998.