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

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

2011-06-28

arxiv.org/abs/1106.5602v2

Mathematics

Representation Theory

29 pages

Scientific paper

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

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