The complexity of the Specht modules corresponding to hook partitions

Details The complexity of the Specht modules corresponding to hook partitions The complexity of the Specht modules corresponding to hook partitions

2009-03-02

arxiv.org/abs/0903.0411v3

Arch. Math. (Basel) 93 (2009), no. 1, 11-22

Mathematics

Representation Theory

Scientific paper

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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