{"title":"Generating sets of the Jacobson radical of the hyperalgebra of (SL2)r","authors":"Yutaka Yoshii","doi":"10.1016/j.jaca.2024.100011","DOIUrl":null,"url":null,"abstract":"<div><p>We give generating sets of the Jacobson radical of the hyperalgebra of the <em>r</em>-th Frobenius kernel of the algebraic group <span><math><msub><mrow><mi>SL</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> over an algebraically closed field of characteristic <span><math><mi>p</mi><mo>></mo><mn>0</mn></math></span>. This result generalizes earlier work by Wong for <span><math><mi>r</mi><mo>=</mo><mn>1</mn></math></span> and odd <em>p</em>.</p></div>","PeriodicalId":100767,"journal":{"name":"Journal of Computational Algebra","volume":"9 ","pages":"Article 100011"},"PeriodicalIF":0.0000,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2772827724000019/pdfft?md5=1f80c29edf80514473ca030887e7893b&pid=1-s2.0-S2772827724000019-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational Algebra","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2772827724000019","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We give generating sets of the Jacobson radical of the hyperalgebra of the r-th Frobenius kernel of the algebraic group over an algebraically closed field of characteristic . This result generalizes earlier work by Wong for and odd p.