Universal envelopes of Malcev Algebras: Pointed Moufang bialgebras

Autor(es)

Zhelyabin, V. N. ^[1]

Afiliação do(s) autor(es)

^[1] Sobolev Inst Math, Novosibirsk - Russia

• Tipo de documento: Artigo Científico
• Fonte: SIBERIAN MATHEMATICAL JOURNAL; v. 50, n. 6, p. 1011-1026, NOV 2009.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 05/60142-7 - Álgebras e superpálgebras alternativas, de Jordan e de Malcev
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Regular