Plethysm Stability of Schur's $Q$-functions

Fuente: arXiv
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Autori principali: Graf, John, Jing, Naihuan
Natura: Preprint
Pubblicazione: 2024
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author Graf, John
Jing, Naihuan
author_facet Graf, John
Jing, Naihuan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_01479
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Plethysm Stability of Schur's $Q$-functions
Graf, John
Jing, Naihuan
Combinatorics
Quantum Algebra
05E05, 05E10
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.
title Plethysm Stability of Schur's $Q$-functions
topic Combinatorics
Quantum Algebra
05E05, 05E10
url https://arxiv.org/abs/2409.01479