
Sinead Lyle
University of Sydney
The Specht modules of the symmetric groups
Friday 29th August, 12:0512:55pm,
Carslaw 373.
The ordinary irreducible modules of the symmetric group S_n
are indexed by the set of partitions of n, and are known as the Specht
modules. When working over a field of characteristic zero, these
modules are wellunderstood; however when reduced modulo a prime p,
little is generally known about their structure or composition factors.
We will give a definition of the Specht modules, and discuss some of
their interesting properties before presenting some recent results.







