Littlewood-Richardson rule for generalized Schur Q-functions

被引：0
作者：
Fang Huang
Yanjun Chu
Chuanzhong Li
机构：
[1] Henan University,School of mathematics and statistics
[2] Shandong University of Science and Technology,College of Mathematics and Systems Science
来源：
Algebras and Representation Theory | 2023年 / 26卷
关键词：
Littlewood-Richardson Rule; Vertex Operators; Schur Q-functions; Generalized Schur Q-functions; Structure Constants; 17B65; 37K10; 35Q53; 20G43; 05E05;
D O I：
暂无
中图分类号：
学科分类号：
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 Schur Q-functions is also given as the combinatorial model by using the shifted tableaux. In this paper, we firstly use the shifted Littlewood-Richardson coefficients to give the coefficients of generalized Schur Q-function expanded as a sum of Schur Q-functions and the structure constants for the multiplication of two generalized Schur Q-functions, respectively. Then we will combine the vertex operator realizations of generalized Schur Q-functions and raising operators to construct the algebraic forms for the multiplication of generalized Schur Q-functions.
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页码：3143 / 3165
页数：22
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