Exploiting relationships between Foulkes modules

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• Melanie de Boeck Kent University
• Friday 15 November 2013, 15:00-16:00
• CMS, MR5.

If you have a question about this talk, please contact Julian Brough.

The action of the symmetric group $S_{mn}$ on set partitions of sets of size $mn$ into $n$ sets of size $m$ gives rise to a permutation module called the Foulkes module, $H^{$. Structurally, very little is known about Foulkes modules, even over $\mathbb{C}$. In this talk, we will focus on $H}{(4^n)}$ and we will see that it is possible to obtain a lot of new structural information by using induction and restriction of modules as the main tools.

This talk is part of the Junior Algebra and Number Theory seminar series.

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