Non-existence of coassociative quantized universal enveloping algebras of the traceless octonions

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

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revue:
Communications in Algebra

ISSN: 0092-7872

Année de publication: 2012

Volumen: 40

Número: 3

Pages: 1009-1018

Type: Article

DOI: 10.1080/00927872.2010.544276 SCOPUS: 2-s2.0-84858131230 WoS: WOS:000301638900015 GOOGLE SCHOLAR lock_openAccès ouvert editor

D'autres publications dans: Communications in Algebra

Résumé

The purpose of this brief note is to prove that any coassociative bialgebra deformation of the universal enveloping algebra of the seven dimensional central simple exceptional Malcev algebra over a field of characteristic zero is cocommutative. © 2012 Copyright Taylor and Francis Group, LLC.