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Sinead Lyle
University of Sydney
The Specht modules of the symmetric groups
Friday 29th August, 12:05-12:55pm,
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 well-understood; 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.
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