Péter Nagy

Péter Tibor Nagy

Karl Strambach

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.

Loops in Group Theory and Lie Theory

Victor Karády

This book is the first English-language study of the social, intellectual and institutional history of sociology and the social sciences in Hungary. Starting with the emergence of the discipline in the early 20th century, Karady and Nagy chart its development throughout various transformations of Hungarian society: from the liberal Dual Monarchy, through the respective Christian and Stalinist regimes, and culminating in the modern scholarly field today. Drawing on large-scale prosopographical materials, the authors use empirically-based socio-historical analysis to measure the impact of successive and radical regime changes on the country's intellectual life. This will be an important and original point of reference for scholars and students of historical sociology, and Eastern European intellectual history.

Péter Tibor Nagy

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