An Envelope for Bol Algebras

  1. Pérez-Izquierdo, J.M. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Journal of Algebra

ISSN: 0021-8693

Año de publicación: 2005

Volumen: 284

Número: 2

Páginas: 480-493

Tipo: Artículo

DOI: 10.1016/J.JALGEBRA.2004.09.038 SCOPUS: 2-s2.0-12344295599 WoS: WOS:000226756900003 GOOGLE SCHOLAR

Otras publicaciones en: Journal of Algebra

Repositorio institucional: lock_openAcceso abierto Editor

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.