English

The classification of multiplicity-free plethysms of Schur functions

Representation Theory 2022-01-07 v3 Combinatorics

Abstract

We classify and construct all multiplicity-free plethystic products of Schur functions. We also compute many new (infinite) families of plethysm coefficients, with particular emphasis on those near maximal in the dominance ordering and those of small Durfee size.

Keywords

Cite

@article{arxiv.2001.08763,
  title  = {The classification of multiplicity-free plethysms of Schur functions},
  author = {Christine Bessenrodt and Chris Bowman and Rowena Paget},
  journal= {arXiv preprint arXiv:2001.08763},
  year   = {2022}
}

Comments

Extra exposition and examples have been added throughout the first 4 sections