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arXiv · 1107.3076

Young's seminormal form and simple modules for $S_n$ in characteristic $p$

Steen Ryom-Hansen
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Abstract

We realize the integral Specht modules for the symmetric group $S_n$ as induced modules from the subalgebra of the group algebra generated by the Jucys-Murphy elements. We deduce from this that the simple modules for $FS_n$ are generated by reductions modulo $p$ of the corresponding Jucys-Murphy idempotents.

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BibTeXRIS

Steen Ryom-Hansen. 2011-07-15. Young's seminormal form and simple modules for $S_n$ in characteristic $p$. https://arxiv.org/abs/1107.3076

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