Foulkes modules for the symmetric group
If you have a question about this talk, please contact David Craven.
LMS Groups and their applications triangle meeting
The action of the symmetric group Sym(mn) on set partitions of sets of size mn into n sets of size m gives rise to a permutation module called the Foulkes module. Structurally, very little is known about Foulkes modules, even over C. In this talk, we will introduce Foulkes modules and their twisted analogues before presenting some results which shed light on the irreducible constituents of the ordinary characters of twisted Foulkes modules.
This talk is part of the Algebra Seminar series.
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