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Decomposition of spin representations of symmetric groups in characteristic 2

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GRA2 - Groups, representations and applications: new perspectives

In characteristic 2 any representation of a double cover of a symmetric group $\widetilde{S}_n$ can also be viewed as a representation of $S_n$. However, apart for leading composition factors and their multiplicity, only very few results are known about the corresponding decomposition matrices. In this talk I will characterise irreducible representations that appear when reducing spin representations indexed by 2-parts partitions to characteristic 2 and show how most of the corresponding decomposition numbers can be obtained.

This talk is part of the Isaac Newton Institute Seminar Series series.

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