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arXiv · 0903.0411

The complexity of the Specht modules corresponding to hook partitions

Kay Jin Lim
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Abstract

Let w be the p-weight of a hook partition \mu and E be an elementary abelian p-subgroup generated by w disjoint p-cycles. We compute the generic Jordan type of the Specht module corresponding to the partition \mu restricted to E. In particular, we show that the complexity of the Specht module is precisely the p-weight of the partition \mu.

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Kay Jin Lim. 2009-03-02. The complexity of the Specht modules corresponding to hook partitions. https://arxiv.org/abs/0903.0411

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