Co-Moufang Deformations of the Universal Enveloping Algebra of the Algebra of Traceless Octonions

  1. Pérez-Izquierdo, J.M. 1
  2. Shestakov, I.P. 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidade de São Paulo
    info

    Universidade de São Paulo

    São Paulo, Brasil

    ROR https://ror.org/036rp1748

Journal:
Algebras and Representation Theory

ISSN: 1386-923X

Year of publication: 2015

Volume: 18

Issue: 5

Pages: 1247-1265

Type: Article

DOI: 10.1007/S10468-015-9539-6 SCOPUS: 2-s2.0-84947129680 WoS: WOS:000364913000004 GOOGLE SCHOLAR

More publications in: Algebras and Representation Theory

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Abstract

By means of graphical calculus we prove that, over fields of characteristic zero, any bialgebra deformation of the universal enveloping algebra of the algebra of traceless octonions satisfying the dual of the left and right Moufang identities must be coassociative and cocommutative. © 2015 Springer Science+Business Media Dordrecht