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- W4317466060 abstract "A theorem of Lurie and Pridham establishes a correspondence between formal moduli problems and differential graded Lie algebras in characteristic zero, thereby formalising a well-known principle in deformation theory. We introduce a variant of differential graded Lie algebras, called partition Lie algebras, in arbitrary characteristic. We then explicitly compute the homotopy groups of free algebras, which parametrise operations. Finally, we prove generalisations of the Lurie-Pridham correspondence classifying formal moduli problems via partition Lie algebras over an arbitrary field, as well as over a complete local base." @default.
- W4317466060 created "2023-01-20" @default.
- W4317466060 creator A5056613503 @default.
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- W4317466060 date "2019-04-15" @default.
- W4317466060 modified "2023-09-25" @default.
- W4317466060 title "Deformation Theory and Partition Lie Algebras" @default.
- W4317466060 doi "https://doi.org/10.48550/arxiv.1904.07352" @default.
- W4317466060 hasPublicationYear "2019" @default.
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