Linear representations of formal loops
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Universidad de La Rioja
info
ISSN: 0308-1087
Year of publication: 2017
Volume: 65
Issue: 1
Pages: 79-112
Type: Article
More publications in: Linear and Multilinear Algebra
Abstract
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