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The 23 articles in this volume encompass the proceedings of the International Conference on Modules and Comodules held in Porto (Portugal) in 2006. The conference was dedicated to Robert Wisbauer on the occasion of his 65th birthday. These articles reflect Professor Wisbauer's wide interests and give an overview of different fields related to module theory. While some of these fields have a long tradition, others represented here have emerged in recent years.
Presenting an introduction to the theory of Hopf algebras, the authors also discuss some important aspects of the theory of Lie algebras. This book includes a chapters on the Hopf algebra of symmetric functions, the Hopf algebra of representations of the symmetric groups, the Hopf algebras of the nonsymmetric and quasisymmetric functions, and the Hopf algebra of permutations.
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This volume proposes a theory of history education in formal classroom settings. Specifically, it aims to outline how the particular setting of the classroom interacts with domain-specific processes of historical thinking. The theory rests on the notion that formal school education is a communicative and social system, while historical thinking occurs in the psychological system of a person's historical consciousness. In the complex interaction of these systems, historical thinking, emotions, communication, media and language are of particular importance. Drawing upon educational theory as well as the theory of history, this theory of the history classroom provides a framework as well as a solid foundation for future empirical research, both for developing research questions as well as for interpreting findings.
Criminology has developed strong methodological tools over the past decades, establishing itself as a competitive and sophisticated social science. Despite and perhaps because of its emphasis on research design, methodology, and quantitative analysis, criminology has had few significant advances in theory. This is the first publication exclusively dedicated to the dissemination of original work on criminological theory. It encourages theory construction and validation in existing criminological publications, as well as furthering the free exchange of ideas, propositions, and postulates. This volume is dedicated to a pioneer in criminology, Donald Cressey, and is especially noteworthy for its...
This volume contains the proceedings of the scientific session “Hopf Algebras and Tensor Categories”, held from July 27–28, 2017, at the Mathematical Congress of the Americas in Montreal, Canada. Papers highlight the latest advances and research directions in the theory of tensor categories and Hopf algebras. Primary topics include classification and structure theory of tensor categories and Hopf algebras, Gelfand-Kirillov dimension theory for Nichols algebras, module categories and weak Hopf algebras, Hopf Galois extensions, graded simple algebras, and bialgebra coverings.
The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. It is intended to be a graduate text as well as a research monograph.