{"title":"Fino–Vezzoni conjecture on Lie algebras with abelian ideals of codimension two","authors":"Kexiang Cao, Fangyang Zheng","doi":"10.1007/s00209-024-03506-8","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we confirm the Fino–Vezzoni Conjecture for unimodular Lie algebras which contain abelian ideals of codimension two, a natural generalization to the class of almost abelian Lie algebras. This provides new evidence towards the validity of the conjecture on a very special type of 3-step solvmanifolds.\n</p>","PeriodicalId":18278,"journal":{"name":"Mathematische Zeitschrift","volume":"105 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2024-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematische Zeitschrift","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00209-024-03506-8","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we confirm the Fino–Vezzoni Conjecture for unimodular Lie algebras which contain abelian ideals of codimension two, a natural generalization to the class of almost abelian Lie algebras. This provides new evidence towards the validity of the conjecture on a very special type of 3-step solvmanifolds.
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