Plethysm Stability of Schur's -functions
arXiv:2409.01479 · doi:10.1007/s10468-026-10375-8
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.
24 pages. v2: Updated preliminaries. Updated stability theorems and proofs, where in a special case we have linear increase. Updated recurrence formulas. Added appendix