{"title":"F4 的量子图","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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-22","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":"{\"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-05-22\",\"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\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022404924001282\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022404924001282","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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.
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