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The description for this book, K-Theory of Forms. (AM-98), Volume 98, will be forthcoming.
The present monograph develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory of 3-graded locally finite root systems. The development of this approach occurs over six chapters, progressing from groups with commutator relations and their Steinberg groups, then on to Jordan pairs, 3-graded locally finite root systems, and groups associated with Jordan pairs graded by root systems, before exploring the volume's main focus: the definition of the Steinberg group of a root graded Jordan pair by a small set of relations, and its central closedness. Several original concepts, such as the notions of Jordan graphs and Weyl elements, provide readers with the necessary tools from combinatorics and group theory. Steinberg Groups for Jordan Pairs is ideal for PhD students and researchers in the fields of elementary groups, Steinberg groups, Jordan algebras, and Jordan pairs. By adopting a unified approach, anybody interested in this area who seeks an alternative to case-by-case arguments and explicit matrix calculations will find this book essential.
The Academy is an institution for the study and teaching of public and private international law and related subjects. Its purpose is to encourage a thorough and impartial examination of the problems arising from international relations in the field of law. The courses deal with the theoretical and practical aspects of the subject, including legislation and case law. All courses at the Academy are, in principle, published in the language in which they were delivered in the "Collected Courses of the" "Hague Academy of International Law." This volume contains: - Means of Ensuring Compliance with and Enforcement of International Environment Law by R. WOLFRAM, Director of the Max-Planck Institute for Comparative Public Law and International Law. - The Formation of Customary International Law by M. MENDELSON, Professor at University College, London, UK.
Dieses Buch will dem Leser eine Einführung in wichtige Techniken und Methoden der heutigen reellen Algebra und Geometrie vermitteln. An Voraussetzungen werden dabei nur Grundkenntnisse der Algebra erwartet, so daß das Buch für Studenten mittlerer Semester geeignet ist.Das erste Kapitel enthält zunächst grundlegende Fakten über angeordnete Körper und ihre reellen Abschlüsse und behandelt dann verschiedene Methoden zur Bestimmung der Anzahl reeller Nullstellen von Polynomen. Das zweite Kapitel befaßt sich mit reellen Stellen und gipfelt in Artins Lösung des 17. Hilbertschen Problems. Kapitel III schließlich ist dem noch jungen Begriff des reellen Spektrums und seinen Anwendungen gewidmet."Neben dem 1987 erschienenen "Géometrie algébrique réelle" von J. Bochnak-M. Coste- M. Roy stellt die vorliegende Monographie das erste Lehrbuch auf diesem Gebiet dar... Damit liegt eine sehr empfehlenswerte Einführung...vor..." (H. Mitsch, Monatshefte für Mathematik 3/111, 1991)
This volume presents a panorama of the diverse activities organized by V. Heiermann and D. Prasad in Marseille at the CIRM for the Chaire Morlet event during the first semester of 2016. It assembles together expository articles on topics which previously could only be found in research papers. Starting with a very detailed article by P. Baumann and S. Riche on the geometric Satake correspondence, the book continues with three introductory articles on distinguished representations due to P. Broussous, F. Murnaghan, and O. Offen; an expository article of I. Badulescu on the Jacquet–Langlands correspondence; a paper of J. Arthur on functoriality and the trace formula in the context of "Beyond Endoscopy", taken from the Simons Proceedings; an article of W-W. Li attempting to generalize Godement–Jacquet theory; and a research paper of C. Moeglin and D. Renard, applying the trace formula to the local Langlands classification for classical groups. The book should be of interest to students as well as professional researchers working in the broad area of number theory and representation theory.
School education reform is a dynamic process. It takes place in the context of changing institutional structures including society, economy, politics, legislation, and technology. Yet, there can be poor awareness of risk, particularly social risk, and its management during this process and more widely, during public service reform (PSR). This book aims to promote new PSR understanding about social risk management. It utilizes in-depth case studies comprising two anonymous Scottish councils responsible for providing and reforming school education services. Drawing mainly on risk management and structuration theories with elements of complexity leadership and institutional theories, the book explains contextual issues around the reform of Scottish school education services (SSES). It illustrates that social risks associated with reform can be used to explain emerging threats. Furthermore, it demonstrates that agent-structure duality may be instrumental to the production and management of social risks. The book also shows how the concept of social risk can be used to improve policy making and implementation. Targeted at practitioners, researchers, policymakers, and students, this book will be of interest to those in the fields of public administration, public service management, and risk management more generally.