{"title":"A class of uniformly bounded simple Z-graded Lie conformal algebras","authors":"Maosen Xu","doi":"10.1016/j.jalgebra.2025.01.023","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we classify the following simple <span><math><mi>Z</mi></math></span>-graded Lie conformal algebras <span><math><mi>L</mi><mo>=</mo><msub><mrow><mo>⨁</mo></mrow><mrow><mi>i</mi><mo>∈</mo><mi>Z</mi></mrow></msub><msub><mrow><mi>L</mi></mrow><mrow><mi>i</mi></mrow></msub></math></span> such that (1) <span><math><mi>r</mi><mi>a</mi><mi>n</mi><mi>k</mi><msub><mrow><mi>L</mi></mrow><mrow><mi>i</mi></mrow></msub><mo>≤</mo><mn>1</mn></math></span>, (2) <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> is the Virasoro Lie conformal algebra.</div></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":"669 ","pages":"Pages 95-117"},"PeriodicalIF":0.8000,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021869325000547","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we classify the following simple -graded Lie conformal algebras such that (1) , (2) is the Virasoro Lie conformal algebra.
期刊介绍:
The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.