Loops in Group and Lie Theory - Couverture rigide

Nagy, Péter; Strambach, Karl

Couverture rigide

ISBN 10 : 3110170108 ISBN 13 : 9783110170108

Editeur : De Gruyter, 2002

Synopsis

In this book the theory of binary systems is considered as a part of group theory and, in particular, within the framework of Lie groups. The novelty is the consequent treatment of topological and differentiable loops as topological and differentiable sections in Lie groups. The interplay of methods and tools from group theory, differential geometry and topology, symmetric spaces, topological geometry, and the theory of foliations is what gives a special flavour to the results presented in this book. It is the first monograph devoted to the study of global loops. So far books on differentiable loops deal with local loops only. This theory can only be used partially for the theory of global loops since non-associative local structures have, in general, no global forms.

The text is addressed to researchers in non-associative algebra and foundations of geometry. It should prove enlightening to a broad range of readers, including mathematicians working in group theory, the theory of Lie groups, in differential and topological geometry, and in algebraic groups.

The authors have produced a text that is suitable not only for a graduate course, but also for selfstudy in the subjectby interested graduate students. Moreover, the material presented can be used for lectures and seminars in algebra, topological algebra and geometry.

Détails de l'édition

• Éditeur: De Gruyter
• Date d'édition: 2002
• Langue: anglais
• ISBN 10: 3110170108
• ISBN 13: 9783110170108
• Reliure: Relié
• Nombre de pages: 370
• Coordonnées du fabricant: Walter de Gruyter GmbH; productsafety@degruyterbrill.com; ; Genthiner Straße 13; Berlin; 10785; Allemagne