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Siberian Mathematical Journal, Vol. 50, No. 6. (1 November 2009), pp. 1011-1026, doi:10.1007/s11202-009-0112-6 Key: citeulike:6465178
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Abstract Under study are the pointed unital coassociative cocommutative Moufang H-bialgebras. We prove an analog of the Cartier-Kostant-Milnor-Moore theorem for weakly associative Moufang H-bialgebras. If the primitive elements commute with group-like elements then these Moufang H-bialgebras are isomorphic to the tensor product of a universal enveloping algebra of a Malcev algebra and a loop algebra constructed by a Moufang loop.
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