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

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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.

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Authors and Affiliations

  1. Departamento de Matemáticas y Computación, Universidad de La Rioja, 26004, Logroño, Spain

    José M. Pérez-Izquierdo

  2. Instituto de Matematica e Estatística, Universidade de São Paulo, Caixa postal 66281, 05315-970, São Paulo, Brazil

    Ivan P. Shestakov

Authors
  1. José M. Pérez-Izquierdo
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  2. Ivan P. Shestakov
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Correspondence to José M. Pérez-Izquierdo.

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Presented by Peter Littelmann.

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Pérez-Izquierdo, J.M., Shestakov, I.P. Co-Moufang Deformations of the Universal Enveloping Algebra of the Algebra of Traceless Octonions. Algebr Represent Theor 18, 1247–1265 (2015). https://doi.org/10.1007/s10468-015-9539-6

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