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arXiv · 2409.01479

Plethysm Stability of Schur's $Q$-functions

John Graf·Naihuan Jing
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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 $Q$-functions. Although the two functions have similar stability properties, we find a special case where the plethysm of Schur's $Q$-functions exhibits linear increase.

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John Graf, Naihuan Jing. 2025-03-29. Plethysm Stability of Schur's $Q$-functions. https://doi.org/10.1007/s10468-026-10375-8

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