{"title":"Quantum diagrammatics for F4","authors":"Alistair Savage, Bruce W. Westbury","doi":"10.1016/j.jpaa.2024.107731","DOIUrl":null,"url":null,"abstract":"<div><p>We introduce a graphical calculus for the representation theory of the quantized enveloping algebra of type <span><math><msub><mrow><mi>F</mi></mrow><mrow><mn>4</mn></mrow></msub></math></span>. We do this by giving a diagrammatic description of the category of invariant tensors on the 26-dimensional fundamental representation.</p></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"228 11","pages":"Article 107731"},"PeriodicalIF":0.8000,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0022404924001282/pdfft?md5=abc8f701428ec8e477739a08eee6bde0&pid=1-s2.0-S0022404924001282-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Pure and Applied Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022404924001282","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/5/22 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We introduce a graphical calculus for the representation theory of the quantized enveloping algebra of type . We do this by giving a diagrammatic description of the category of invariant tensors on the 26-dimensional fundamental representation.
期刊介绍：
The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.
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