The complexity of the Specht modules corresponding to hook partitions
Representation Theory
2011-02-15 v3
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.
Cite
@article{arxiv.0903.0411,
title = {The complexity of the Specht modules corresponding to hook partitions},
author = {Kay Jin Lim},
journal= {arXiv preprint arXiv:0903.0411},
year = {2011}
}