Algunos aspectos del álgebra no asociativa

  1. María del Pilar Benito Clavijo 1
  2. Jesús Antonio Laliena Clemente 1
  3. Sara Madariaga Merino 12
  4. José María Pérez Izquierdo 1
  5. Daniel de la Concepción 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 University of Saskatchewan
    info

    University of Saskatchewan

    Saskatoon, Canadá

    ROR https://ror.org/010x8gc63

Journal:
Zubía

ISSN: 0213-4306

Year of publication: 2014

Issue: 26

Pages: 77-96

Type: Article

More publications in: Zubía

Abstract

A large number of algebraic structures, among which the associative and the Jordan algebras deserve special mention, are closely related to the Lie algebras and to some interesting geometries. These relationships explain certain exceptional behaviors in Algebra and Geometry, which are nothing but manifestations of the same phenomena. In this note we analyse part of the research made during the last years by the research group of Algebra of the University of La Rioja. This research focuses on the study of nonassociative structures related to Lie algebras.