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

Revista:
Algebras and Representation Theory

ISSN: 1386-923X

Ano de publicación: 2015

Volume: 18

Número: 5

Páxinas: 1247-1265

Tipo: Artigo

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

Outras publicacións en: Algebras and Representation Theory

Proxectos relacionados

Álgebras, triples y lazos relacionados con Geometría y Supermetría

2011/00007/001

Resumo

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