The irreducible Specht modules in characteristic 2
Gordon James and Andrew Mathas
Research Report 98-11
Date: 29 April 1998
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].
symmetric groups. Specht modules. irreducibility.
AMS Subject Classification (1991)
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