## 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].

The paper is available in the following forms:

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Alternatively, you can request a copy by
e-mailing me.

*Andrew Mathas*

1st May 1998.