{"title":"超代数 (SL2) 雅各布森根的生成集</mml:mro","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":"{\"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}","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}
Generating sets of the Jacobson radical of the hyperalgebra of (SL2)r
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.
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