{"title":"B ~ 3,iii型仿射Weyl群中双面细胞的基环","authors":"Yannan Qiu","doi":"10.1016/j.jpaa.2025.107950","DOIUrl":null,"url":null,"abstract":"<div><div>We compute the based ring of the two-sided cell corresponding to the unipotent class in <span><math><mi>S</mi><msub><mrow><mi>p</mi></mrow><mrow><mn>6</mn></mrow></msub><mo>(</mo><mi>C</mi><mo>)</mo></math></span> with Jordan blocks (2211). The result also verifies Lusztig's conjecture on the structure of the based rings of the two-sided cells of an affine Weyl group.</div></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"229 6","pages":"Article 107950"},"PeriodicalIF":0.7000,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The based rings of two-sided cells in an affine Weyl group of type B˜3, III\",\"authors\":\"Yannan Qiu\",\"doi\":\"10.1016/j.jpaa.2025.107950\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We compute the based ring of the two-sided cell corresponding to the unipotent class in <span><math><mi>S</mi><msub><mrow><mi>p</mi></mrow><mrow><mn>6</mn></mrow></msub><mo>(</mo><mi>C</mi><mo>)</mo></math></span> with Jordan blocks (2211). The result also verifies Lusztig's conjecture on the structure of the based rings of the two-sided cells of an affine Weyl group.</div></div>\",\"PeriodicalId\":54770,\"journal\":{\"name\":\"Journal of Pure and Applied Algebra\",\"volume\":\"229 6\",\"pages\":\"Article 107950\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2025-03-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"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/S0022404925000891\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Pure and Applied Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022404925000891","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
The based rings of two-sided cells in an affine Weyl group of type B˜3, III
We compute the based ring of the two-sided cell corresponding to the unipotent class in with Jordan blocks (2211). The result also verifies Lusztig's conjecture on the structure of the based rings of the two-sided cells of an affine Weyl group.
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.