{"title":"Lie's Third Theorem for Lie $\\infty$-Algebras","authors":"Christopher L. Rogers, Jesse Wolfson","doi":"arxiv-2409.08957","DOIUrl":null,"url":null,"abstract":"We prove Lie's Third Theorem for Lie $\\infty$-algebras: Every finite-type,\nhomologically and non-negatively graded $L_\\infty$-algebra over $\\mathbb{R}$\nintegrates to a finite-dimensional Lie $\\infty$-group.","PeriodicalId":501136,"journal":{"name":"arXiv - MATH - Rings and Algebras","volume":"51 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Rings and Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.08957","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 prove Lie's Third Theorem for Lie $\infty$-algebras: Every finite-type,
homologically and non-negatively graded $L_\infty$-algebra over $\mathbb{R}$
integrates to a finite-dimensional Lie $\infty$-group.
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