Linear representations of formal loops
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Universidad de La Rioja
info
ISSN: 0308-1087
Any de publicació: 2017
Volum: 65
Número: 1
Pàgines: 79-112
Tipus: Article
Altres publicacions en: Linear and Multilinear Algebra
Resum
A representation of an object in a category is an abelian group in the corresponding comma category. In this paper, we derive the formulas describing linear representations of objects in the category of formal loops and formal loop homomorphisms and apply them to obtain a new approach to the representation theory of formal Moufang loops and Malcev algebras based on Moufang elements. Certain ‘non-associative Moufang symmetry’ of groups is revealed. © 2016 Informa UK Limited, trading as Taylor & Francis Group