Plethysm Stability of Schur's $Q$-functions
Combinatorics
2026-03-17 v2 Quantum Algebra
Abstract
Schur functions has been shown to satisfy certain plethysm stability properties and recurrence relations. In this paper, use vertex operator methods to study analogous stability properties of Schur's -functions. Although the two functions have similar stability properties, we find a special case where the plethysm of Schur's -functions exhibits linear increase.
Cite
@article{arxiv.2409.01479,
title = {Plethysm Stability of Schur's $Q$-functions},
author = {John Graf and Naihuan Jing},
journal= {arXiv preprint arXiv:2409.01479},
year = {2026}
}
Comments
24 pages. v2: Updated preliminaries. Updated stability theorems and proofs, where in a special case we have linear increase. Updated recurrence formulas. Added appendix