Plethysm Stability of Schur's $Q$-functions
John Graf, Naihuan Jing
TL;DR
This paper investigates the plethysm stability properties of Schur's Q-functions using vertex operator methods, revealing a unique case of linear increase in plethysm, extending known stability results for Schur functions.
Contribution
It introduces a vertex operator approach to study plethysm stability of Schur's Q-functions and identifies a special case with linear plethysm growth.
Findings
Schur's Q-functions exhibit plethysm stability similar to Schur functions.
A specific case shows linear increase in plethysm of Q-functions.
Vertex operator methods effectively analyze Q-function stability.
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.
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