Restricting cell modules of partition algebras
Representation Theory
2019-04-24 v3 Rings and Algebras
Abstract
The restriction of a (dual) Specht module to a smaller symmetric group has a filtration by (dual) Specht modules of this smaller group. In the cellular structure of the group algebra of the symmetric group, the cell modules are exactly the (dual) Specht modules. The partition algebra is a cellular algebra containing the group algebra of the symmetric group. In this article, we study the structure of the restriction of a cell module to the group algebra of a symmetric group (with smaller index) and find conditions for the restriction to possess a (dual) Specht filtration.
Cite
@article{arxiv.1606.06889,
title = {Restricting cell modules of partition algebras},
author = {Inga Paul},
journal= {arXiv preprint arXiv:1606.06889},
year = {2019}
}
Comments
v3, minor changes