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OverviewThe structure and classification of reductive groups over arbitrary fields has become a standard part of mathematics, with broad connections to many aspects of group theory (Lie groups), number theory (Langlands program, arithmetic groups), algebraic geometry and invariant theory. The first ten chapters of this text cover the theory of linear algebraic groups over algebraically closed fields, culminating in the theory of reductive groups, and includes the uniqueness and existence theorems. Chapters 11-17 cover the theory of linear algebraic groups which are not algebraically closed. The last seven chapters deal with the Tits classification of simple groups. The work is concise and self-contained, and should appeal to a broad audience of graduate students and researchers in the field. It is suitable for use as a textbook for a course on the theory, and contains exercises. Full Product DetailsAuthor: Tonny A. SpringerPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 2nd Revised edition Volume: v. 9 ISBN: 9783764340216ISBN 10: 3764340215 Pages: 350 Publication Date: May 1998 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Replaced By: 9780817640217 Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsSome algebraic geometry; linear algebraic groups, first properties; communtative algebraic groups; derivations, differntials, lie algebras; topological properties of morphisms, applications; parabolic subgroups, Borel subgroups, solvable groups; Weyl group, roots, root datum; reductive groups; the isomorphism theorem; the existence theorem; more algebraic geometry; F-groups, general results; F-tori; solvable F-groups; F-reductive groups; reductive F-groups; classification.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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