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Lie's fundamental theorems for local analytical loops

1986
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Pacific Journal of Mathematics
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A central piece of classical Lie theory is the fact that with each local Lie group, a Lie algebra is associated as tangent object at the origin, and that, conversely and more importantly, every Lie algebra determines a local Lie group whose tangent algebra it is. Up to equivalence of local groups, this correspondence is bijective. Attempts at the development of a Lie theory for analytical loops have not been entirely satisfactory in this direction, since they relied more or less on certain

doi:10.2140/pjm.1986.123.301
fatcat:fdpai7nukjei3id4bkrkwgyv5e