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arXiv · 1611.06907

Specht module cohomology and integral designs

Ha Thu Nguyen
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Abstract

We aim to construct an element satisfying Hemmer's combinatorial criterion for $H^1(\mathfrak{S}_n, S^\lambda)$ to be non-vanishing. In the process, we discover an unexpected and surprising link between the combinatorial theory of integral designs and the representation theory of the symmetric groups.

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Ha Thu Nguyen. 2016-11-21. Specht module cohomology and integral designs. https://arxiv.org/abs/1611.06907

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