Corestricted group actions and eight-dimensional absolute valued algebras

• Seidon Alsaody ^[1]
  1. [1] Uppsala University

     Uppsala University

     Uppsala domkyrkoförs., Suecia

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 5 ( (May 2015)), 2015, págs. 1519-1547
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.06.014
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• Resumen

  • We define and study the class of left reflection algebras, which is a subclass of eight-dimensional absolute valued algebras. We reduce its classification problem to the problem of finding a transversal for the action of a subgroup of O7 on O7 by conjugation. As a basis for this study, we give a general criterion for finding full subcategories of group action categories, which themselves arise from group actions.