English

Relationships between plethysm coefficients

Representation Theory 2016-02-23 v2

Abstract

We consider the plethysm problem stated for representations of symmetric groups. In particular, we prove new relationships between composition multiplicities of twisted Foulkes modules. Expressed in terms of symmetric functions, our results establish relationships between plethysm coefficients.

Keywords

Cite

@article{arxiv.1409.0734,
  title  = {Relationships between plethysm coefficients},
  author = {Melanie de Boeck},
  journal= {arXiv preprint arXiv:1409.0734},
  year   = {2016}
}

Comments

13 pages; revised version with new introduction; conjectures added in Section 7

R2 v1 2026-06-22T05:46:34.579Z