{"title":"列式 $/infty$ 算法的列氏第三定理","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":"{\"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}","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}
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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