English

The reducible Specht modules for the Hecke algebra $\mathcal{H}_{\mathbb{C},-1}(\mathfrak{S}_n)$

Representation Theory 2011-11-23 v2

Abstract

The reducible Specht modules for the Hecke algebra HF,q(Sn)\mathcal{H}_{\mathbb{F},q}(\mathfrak{S}_n) have been classified except when q=1q=-1. We prove one half of a conjecture which we believe classifies the reducible Specht modules when q=1q=-1 and F\mathbb{F} has characteristic 0.

Keywords

Cite

@article{arxiv.1106.5602,
  title  = {The reducible Specht modules for the Hecke algebra $\mathcal{H}_{\mathbb{C},-1}(\mathfrak{S}_n)$},
  author = {Matthew Fayers and Sinead Lyle},
  journal= {arXiv preprint arXiv:1106.5602},
  year   = {2011}
}

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29 pages