English

Rectangular symmetries for coefficients of symmetric functions

Combinatorics 2020-04-14 v1

Abstract

We show that some of the main structural constants for symmetric functions (Littlewood-Richardson coefficients, Kronecker coefficients, plethysm coefficients, and the Kostka--Foulkes polynomials) share symmetries related to the operations of taking complements with respect to rectangles and adding rectangles.

Keywords

Cite

@article{arxiv.1410.8017,
  title  = {Rectangular symmetries for coefficients of symmetric functions},
  author = {Emmanuel Briand and Rosa Orellana and Mercedes Rosas},
  journal= {arXiv preprint arXiv:1410.8017},
  year   = {2020}
}

Comments

16 pages

R2 v1 2026-06-22T06:40:20.835Z