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Symmetric Spaces and the Kashiwara-Vergne Method
Gathering and updating results scattered in journal articles over thirty years, this self-contained monograph gives a comprehensive introduction to the subject. Its goal is to: - motivate and explain the method for general Lie groups, reducing the proof of deep results in invariant analysis to the verification of two formal Lie bracket identities related to the Campbell-Hausdorff formula (the "Kashiwara-Vergne conjecture"); - give a detailed proof of the conjecture for quadratic and solvable Lie algebras, which is relatively elementary; - extend the method to symmetric spaces; here an obstruction appears, embodied in a single remarkable object called an "e-function"; - explain the role of th...
Becoming a Revolutionary
Winner of the Leo Gershoy Prize from the American Historical Association, 1998, for the best book in Early Modern European History. Timothy Tackett&’s Becoming a Revolutionary revisits one of the most controversial moments in history: the beginning of the French Revolution. How did it arise? Why did French men and women become revolutionaries? To answer these questions, Tackett focuses on the experiences of the 1200 members of the first French National Assembly. Drawing upon on a wide range of sources, including contemporary letters and diaries, Tackett shows that the deputies were a group of practical men, whose ideas were governed more by concrete subjects than by abstract philosophy. Though it may seem surprising now, most of the deputies were actually in support of the king. Instead of being initiated as a result of a specific ideology founded on Enlightenment principles, the ideas that eventually led to the French Revolution were, instead, a direct result of the actual process of the Assembly. First published in 1996 and hailed as an &“exemplary product of the historian&’s craft,&” Becoming a Revolutionary is now available in paperback for the first time.
Symmetric Spaces and the Kashiwara-Vergne Method
Gathering and updating results scattered in journal articles over thirty years, this self-contained monograph gives a comprehensive introduction to the subject. Its goal is to: - motivate and explain the method for general Lie groups, reducing the proof of deep results in invariant analysis to the verification of two formal Lie bracket identities related to the Campbell-Hausdorff formula (the "Kashiwara-Vergne conjecture"); - give a detailed proof of the conjecture for quadratic and solvable Lie algebras, which is relatively elementary; - extend the method to symmetric spaces; here an obstruction appears, embodied in a single remarkable object called an "e-function"; - explain the role of th...
Initiation à la géometrie de Riemann
L'ouvrage s'adresse aux étudiants du master de mathématiques et au-delà, ainsi qu'à tous ceux qui souhaitent s'initier à la géométrie de Riemann en vue de l'étude ultérieure de textes plus avancés, soit vers des développements mathématiques récents, soit vers l'utilisation en physique (relativité générale notamment). Les prérequis se limitent à une bonne familiarité avec le calcul différentiel, à quelques notions de topologie générale et aux premiers théorèmes généraux sur les équations différentielles. La géométrie riemannienne est avant tout l'oeuvre de Carl Friedrich Gauss et de Bernhard Riemann, chacun de ces deux grands mathématiciens ajoutant une pierre ...
Let God Arise
Let God Arise draws upon an extensive array of archival sources to present the first modern account in English entirely devoted to the rebellion and war of the Camisards. Combining traditional narrative with analysis, W. Gregory Monahan examines the issues that led to that rebellion, beginning with the conversion of the artisans and peasants of the remote mountain region of the Cévennes to Protestantism in the sixteenth century, its persistence in that confession in the seventeenth, and the shattering impact of the Revocation of the Edict of Nantes, which deprived Protestants first of their pastors, and then of the itinerant preachers who attempted to take their place. Beginning in 1701, pr...
The Black Populations of France
This edited collection considers Black peoples and their history in France and the French Empire during the modern era, from the eighteenth century to the present.
Geometric Analysis and Integral Geometry
Provides an historical overview of several decades in integral geometry and geometric analysis as well as recent advances in these fields and closely related areas. It contains several articles focusing on the mathematical work of Sigurdur Helgason, including an overview of his research by Gestur Olafsson and Robert Stanton.
Histoire De La Révolution Française Dans Le Département Du Gard, Volume 1...
François Rouvière retrace dans cet ouvrage les événements marquants de la Révolution française dans le département du Gard, depuis les premiers signes de contestation jusqu'à la chute de Robespierre. Une source indispensable pour comprendre l'impact de la Révolution sur le territoire. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
