顶点算子, 广义辛Schur函数的Littlewood-Richardson规则

黄芳, 楚彦军

doi:10.13371/j.cnki.chin.q.j.m.2022.03.007

数学季刊 >

2022 , Vol. 37 >Issue 3: 301 - 316

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2022.03.007

顶点算子, 广义辛Schur函数的Littlewood-Richardson规则

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School of Mathematics and Statistics, Henan University, Kaifeng 475004, China

HUANG Fang (1984-), female, native of Shangqiu, Henan, lecturer of Henan University, engages in algebra; CHU Yan-jun (1979-), male, native of Luohe, Henan, associate professor of Henan University, engages in algebra.

收稿日期: 2022-05-20

网络出版日期: 2022-09-19

基金资助

Supported by National Natural Science Foundation of China (Grant No. 11226192).

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Vertex Operators, Littlewood-Richardson Rule for Generalized Symplectic Schur Functions

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School of Mathematics and Statistics, Henan University, Kaifeng 475004, China

Received date: 2022-05-20

Online published: 2022-09-19

Supported by

Supported by National Natural Science Foundation of China (Grant No. 11226192).

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摘要

Littlewood-Richardson rule gives the expansion formula for decomposing a
product of two Schur functions as a linear sum of Schur functions, while the decomposition
formula for the multiplication of two symplectic Schur function is also given by the
combinatorial method. In this paper, we will construct the algebraic forms of the
decomposition formula for the product of two symplectic Schur functions by using the
generating functions and vertex operator realizations, and then extend these results to
generalized symplectic Schur functions.

关键词： ; Schur functions; Littlewood-Richardson coefficient; Symplectic Schur func-
tions; Vertex operators

本文引用格式

黄芳, 楚彦军 . 顶点算子, 广义辛Schur函数的Littlewood-Richardson规则[J]. 数学季刊, 2022 , 37(3) : 301 -316 . DOI: 10.13371/j.cnki.chin.q.j.m.2022.03.007

Abstract

Key words： ; Schur functions; Littlewood-Richardson coefficient; Symplectic Schur func-
tions; Vertex operators

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