UNIVERSAL ENVELOPES OF MALCEV ALGEBRAS: POINTED MOUFANG BIALGEBRAS

摘要

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.