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Item Details
Title: LOOPS IN GROUP THEORY AND LIE THEORY
By: Peter T. Nagy, Karl Strambach
Format: Hardback

List price: £190.00


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ISBN 10: 3110170108
ISBN 13: 9783110170108
Publisher: DE GRUYTER
Pub. date: 22 March, 2002
Series: De Gruyter Expositions in Mathematics 35
Pages: 361
Description: In this work the theory of binary systems is considered as part of group theory and, in particular, within the framework of Lie groups. It then presents a consequent treatment of topological and differentiable loops as topological and differentiable sections in Lie groups.
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.
Publication: Germany
Imprint: Walter de Gruyter & Co
Returns: Non-returnable
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