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arxiv: 1106.5602 · v2 · pith:FW7PS5PInew · submitted 2011-06-28 · 🧮 math.RT

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

classification 🧮 math.RT
keywords mathbbmodulesreduciblespechtalgebraheckemathcalmathfrak
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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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