Specht module cohomology and integral designs

Ha Thu Nguyen

Specht module cohomology and integral designs

Representation Theory 2016-11-22 v1

Authors: Ha Thu Nguyen

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.

Keywords

module theory combinatorics hyperplane arrangements

Cite

@article{arxiv.1611.06907,
  title  = {Specht module cohomology and integral designs},
  author = {Ha Thu Nguyen},
  journal= {arXiv preprint arXiv:1611.06907},
  year   = {2016}
}

Comments

16 pages, based on results of my PhD thesis prepared at the University of Cambridge

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