Plethysm Stability of Schur’s Q-functions

IF 0.6 4区数学 Q3 MATHEMATICS

Algebras and Representation Theory Pub Date : 2026-02-06 DOI:10.1007/s10468-026-10375-8

John Graf, Naihuan Jing

引用次数: 0

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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舒尔q函数的体积稳定性

舒尔函数已被证明满足一定的体积稳定性和递推关系。本文利用顶点算子方法研究了舒尔q函数的类似稳定性。虽然这两个函数具有相似的稳定性性质，但我们发现了舒尔q函数的体积呈线性增加的特殊情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebras and Representation Theory 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebras and Representation Theory features carefully refereed papers relating, in its broadest sense, to the structure and representation theory of algebras, including Lie algebras and superalgebras, rings of differential operators, group rings and algebras, C*-algebras and Hopf algebras, with particular emphasis on quantum groups. The journal contains high level, significant and original research papers, as well as expository survey papers written by specialists who present the state-of-the-art of well-defined subjects or subdomains. Occasionally, special issues on specific subjects are published as well, the latter allowing specialists and non-specialists to quickly get acquainted with new developments and topics within the field of rings, algebras and their applications.