English

Symmetric quasisymmetric Schur-like functions

Combinatorics 2026-04-02 v2

Abstract

In this paper we classify when (row-strict) dual immaculate functions and (row-strict) extended Schur functions, as well as their skew generalizations, are symmetric. We also classify when their natural variants, termed advanced functions, are symmetric. In every case our classification recovers classical skew Schur functions.

Keywords

Cite

@article{arxiv.2507.08083,
  title  = {Symmetric quasisymmetric Schur-like functions},
  author = {Maria Esipova and Jinting Liang and Stephanie van Willigenburg},
  journal= {arXiv preprint arXiv:2507.08083},
  year   = {2026}
}

Comments

26 pages, final version to appear in European Journal of Combinatorics

R2 v1 2026-07-01T03:55:25.406Z