London Algebra Colloquium abstract
Decomposable Specht modules
Matthew Fayers (Queen Mary), 20th October 2011
Abstract
The Specht modules are important modules defined for the symmetric
group in any characteristic, and a great deal of effort
is devoted to finding their structure. It is known that if the
underlying characteristic is not 2, then all Specht modules
are indecomposable. In characteristic 2 there are decomposable
Specht modules, but examples are hard to find. I will
report on recent joint work with Craig Dodge, in which we have
found new examples of decomposable Specht modules. The talk
will be reasonably elementary, with some hands-on calculation.