An Envelope for Bol Algebras
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Universidad de La Rioja
info
ISSN: 0021-8693
Año de publicación: 2005
Volumen: 284
Número: 2
Páginas: 480-493
Tipo: Artículo
Otras publicaciones en: Journal of Algebra
Resumen
We prove that Bol algebras arise as primitive elements of certain bialgebras which generalize the usual universal enveloping algebras of Lie and Malcev algebras. The Bol algebra is located inside the generalized left alternative nucleus of the envelope, and its binary and ternary products are naturally recovered from the product of the envelope. © 2004 Elsevier Inc. All rights reserved.