The factorization problem for Jordan algebras: applications

• Agore, A. L. ^[2] ; Militaru, G. ^[1]
  1. [1] University of Bucharest

     University of Bucharest

     Sector 3, Rumanía

     
  2. [2] Simion Stoilow Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700, Bucharest, Romania
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 74, Fasc. 3, 2023, págs. 687-701
• Idioma: inglés
• DOI: 10.1007/s13348-022-00369-2
• Texto completo no disponible (Saber más ...)
• Resumen

  • We investigate the factorization problem as well as the classifying complements problem in the setting of Jordan algebras. Matched pairs of Jordan algebras and the corresponding bicrossed products are introduced. It is shown that any Jordan algebra which factorizes through two given Jordan algebras is isomorphic to a bicrossed product associated to a certain matched pair between the same two Jordan algebras. Furthermore, a new type of deformation of a Jordan algebra is proposed as the main step towards solving the classifying complements problem.