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OverviewDifferential algebraic groups were introduced by P. Cassidy and E. Kolchin and are, roughly speaking, groups defined by algebraic differential equations in the same way as algebraic groups are groups defined by algebraic equations. The aim of the book is two-fold: 1) to provide an algebraic geometer's introduction to differential algebraic groups, and 2) to provide a structure and classification theory for the finite dimensional ones. The main idea of the approach is to relate this topic to the study of: a) deformations of (not necessarily linear) algebraic groups and b) deformations of their automorphisms. The reader is assumed to possess some standard knowledge of algebraic geometry but no familiarity with Kolchin's work is necessary. The book is both a research monograph and an introduction to a new topic and thus will be of interest to a wide audience from researchers to graduate students. Full Product DetailsAuthor: Alexandru BuiumPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 1992 ed. Volume: 1506 Dimensions: Width: 15.50cm , Height: 0.80cm , Length: 23.50cm Weight: 0.530kg ISBN: 9783540551812ISBN 10: 3540551816 Pages: 147 Publication Date: 26 February 1992 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback 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 ContentsTerminology and conventions.- First properties.- Affine D-group schemes.- Commutative algebraic D-groups.- General algebraic D-groups.- Applications to differential algebraic groups.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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