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- W2963529488 abstract "We formulate and prove a generalisation of Lie’s second theorem that integrates homomorphisms between formal group laws to homomorphisms between Lie groups. Firstly we generalise classical Lie theory by replacing groups with groupoids. Secondly we include groupoids whose underlying spaces are not smooth manifolds. The main intended application is when we replace the category of smooth manifolds with a well-adapted model of synthetic differential geometry. In addition we provide an axiomatic system that provides all the abstract structure that is required to prove Lie’s second theorem." @default.
- W2963529488 created "2019-07-30" @default.
- W2963529488 creator A5077531936 @default.
- W2963529488 date "2018-02-27" @default.
- W2963529488 modified "2023-09-26" @default.
- W2963529488 title "A Synthetic Version of Lie’s Second Theorem" @default.
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- W2963529488 doi "https://doi.org/10.1007/s10485-018-9518-2" @default.
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