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 Sn 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:
- TeX dvi format:
- 1998-11.dvi.gz (12kB) or
1998-11.dvi (32kB)
- PostScript:
- 1998-11.ps.gz (36kB) or
1998-11.ps (121kB)
Alternatively, you can request a copy by
e-mailing me.
Andrew Mathas
1st May 1998.