Universal envelopes of Malcev Algebras: Pointed Moufang bialgebras

Zhelyabin, V. N.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Universal envelopes of Malcev Algebras: Pointed Moufang bialgebras

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Author(s):	Zhelyabin, V. N. ^[1] Total Authors: 1
Affiliation:	^[1] Sobolev Inst Math, Novosibirsk - Russia Total Affiliations: 1
Document type:	Journal article
Source:	SIBERIAN MATHEMATICAL JOURNAL; v. 50, n. 6, p. 1011-1026, NOV 2009.
Web of Science Citations:	1
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. (AU)

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