{"title":"Bernstein operators for universal characters and symplectic universal characters","authors":"Denghui Li, Zhaowen Yan","doi":"10.1016/j.nuclphysb.2024.116718","DOIUrl":null,"url":null,"abstract":"<div><div>This paper focuses on the construction of the Bernstein operators for universal characters and symplectic universal characters. By carrying out the action of a series of Bernstein operators on the constant function 1, universal characters and symplectic universal characters have been presented. Furthermore, we concentrate on the investigation of the product of universal characters (symplectic universal characters) and a complete symmetric function. Based upon the Pieri rules and inverse Pieri rules, universal characters and symplectic universal characters can be derived by changing corresponding diagrams of partitions.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116718"},"PeriodicalIF":2.5000,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Physics B","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0550321324002840","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper focuses on the construction of the Bernstein operators for universal characters and symplectic universal characters. By carrying out the action of a series of Bernstein operators on the constant function 1, universal characters and symplectic universal characters have been presented. Furthermore, we concentrate on the investigation of the product of universal characters (symplectic universal characters) and a complete symmetric function. Based upon the Pieri rules and inverse Pieri rules, universal characters and symplectic universal characters can be derived by changing corresponding diagrams of partitions.
期刊介绍:
Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.