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OverviewArmand Borel's mathematical work centered on the theory of Lie groups. Because of the increasingly important place of this theory in the whole of mathematics, Borel's work influenced some of the most important developments of contemporary mathematics. His first great achievement was to apply to Lie groups and homogenous spaces the powerful techniques of algebraic topology developed by Leray, Cartan, and Steenrod. In 1992, Borel was awarded the International Balzan Prize for Mathematics for his fundamental contributions to the theory of Lie groups, algebraic groups and arithmetic groups, and for his indefatigable action in favor of high quality in mathematical research and of the propagation of new ideas. He wrote more than 145 articles before 1982, which were collected in three volumes published in 1983. A fourth volume of subsequent articles was published in 2001. Volume I collects the papers written from 1948 to 1958. Full Product DetailsAuthor: A. Borel , A BorelPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 1983 ed. Weight: 4.400kg ISBN: 9783540121268ISBN 10: 3540121269 Pages: 728 Publication Date: 01 November 1983 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Language: English Table of Contents(avec J. de Siebenthal) Sur les sous-groupes fermes connexes de rang maximum des groupes de Lie clos.- Some remarks about Lie groups transitive on spheres and tori.- (avec J. de Siebenthal) Les sous-groupes fermes de rang maximum des groupes de Lie clos.- Limites projectives de groupes de Lie.- Sections locales de certains espaces fibres.- Le plan projectif des octaves et les spheres comme espaces homogenes.- Groupes localement compacts.- (avec J-P. Serre) Impossibilite de fibrer un espace euclidien par des fibres compactes.- Remarques sur l'homologie filtree.- Impossibilite de fibrer une sphere par un produit de spheres.- Sous-groupes compacts maximaux des groupes de Lie.- Sur la cohomologie des varietes de Stiefel et de certains groupes de Lie.- La transgression dans les espaces fibres principaux.- Sur la cohomologie des espaces homogenes de groupes de Lie compacts.- (avec J-P. Serre) Determination des p-puissances reduites de Steenrod dans la cohomologie des groupes classiques. Applications.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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