Corpus ID: 16938235

Enveloping algebras of Malcev algebras

  title={Enveloping algebras of Malcev algebras},
  author={M. Bremner and I. R. Hentzel and L. A. Peresi and M. Tvalavadze and H. Usefi},
  journal={arXiv: Rings and Algebras},
  • M. Bremner, I. R. Hentzel, +2 authors H. Usefi
  • Published 2010
  • Mathematics, Physics
  • arXiv: Rings and Algebras
  • We first discuss the construction by Perez-Izquierdo and Shestakov of universal nonassociative enveloping algebras of Malcev algebras. We then describe recent results on explicit structure constants for the universal enveloping algebras (both nonassociative and alternative) of the 4-dimensional solvable Malcev algebra and the 5-dimensional nilpotent Malcev algebra. We include a proof (due to Shestakov) that the universal alternative enveloping algebra of the real 7-dimensional simple Malcev… CONTINUE READING
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