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Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'.
This volume, dedicated to Bertram Kostant on the occasion of his 65th birthday, is a collection of 22 invited papers by leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics. Kostant’s fundamental work in all these areas has provided deep new insights and connections, and has created new fields of research. The papers gathered here present original research articles as well as expository papers, broadly reflecting the range of Kostant’s work.
Dedicated to Jacques Carmona, an expert in noncommutative harmonic analysis, the volume presents excellent invited/refereed articles by top notch mathematicians. Topics cover general Lie theory, reductive Lie groups, harmonic analysis and the Langlands program, automorphic forms, and Kontsevich quantization. Good text for researchers and grad students in representation theory.
Ce huitième chapitre du Livre d'Algèbre, deuxième Livre des Éléments de mathématique, est consacré à l'étude de certaines classes d'anneaux et des modules sur ces anneaux. Il couvre les notions de module et d'anneau noethérien et artinien, ainsi que celle de radical. Ce chapitre décrit également la structure des anneaux semi-simples. Nous y donnons aussi la définition de divers groupes de Grothendieck qui jouent un rôle universel pour les invariants de modules et plusieurs descriptions du groupe de Brauer qui intervient dans la classification des anneaux simples. Une note historique en fin de volume, reprise de l'édition précédente, retrace l'émergence d'une grande partie des notions développées. Ce volume est une deuxième édition entièrement refondue de l'édition de 1958.
Medieval writers who 'translated' Latin texts into Germanic vernaculars not only transmitted their originals, but, driven by individualistic impulses and cultural conventions, also transformed them. This process of domesticating texts was fundamentally creative and might more accurately be described as 'reconstruction'. The essays in Germanic Texts and Latin Models: Medieval Reconstructions explore the ways in which Latin texts and traditions were reconstructed in Old English, Old Icelandic and Old High German and cover a range of genres: legal texts, genealogies, histories, and poetry. They examine how medieval Germanic authors negotiated the need to transmit their models while at the same time fulfilling their own political, artistic and didactic objectives in the creation of vernacular texts. These new studies demonstrate the variety of ways in which medieval Germanic texts were indebted to their Latin exemplars, while reflecting their new culturally specific circumstances in the complex nexus of Latin learning and Germanic lore.