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arXiv · 2512.23944

Positive specializations of K-theoretic Schur P- and Q-functions

Eric Marberg
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Abstract

Yeliussizov has classified the positive specializations of symmetric Grothendieck functions, defined in several different ways, providing a K-theoretic lift of the classical Edrei-Thoma theorem. This note studies the analogous classification problem for Ikeda and Naruse's K-theoretic Schur P- and Q-functions, which are the shifted versions of symmetric Grothendieck functions. Our results extend a shifted variant of the Edrei-Thoma theorem due to Nazarov. We also discuss an application to the problem of determining the extreme harmonic functions on a filtered version of the shifted Young lattice.

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Eric Marberg. 2025-12-30. Positive specializations of K-theoretic Schur P- and Q-functions. https://arxiv.org/abs/2512.23944

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