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OverviewComplex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory. To date, however, no book has fully explored and developed their structural aspects.The Structure of Complex Lie Groups addresses this need. Self-contained, it begins with general concepts introduced via an almost complex structure on a real Lie group. It then moves to the theory of representative functions of Lie groups- used as a primary tool in subsequent chapters-and discusses the extension problem of representations that is essential for studying the structure of complex Lie groups. This is followed by a discourse on complex analytic groups that carry the structure of affine algebraic groups compatible with their analytic group structure. The author then uses the results of his earlier discussions to determine the observability of subgroups of complex Lie groups.The differences between complex algebraic groups and complex Lie groups are sometimes subtle and it can be difficult to know which aspects of algebraic group theory apply and which must be modified. The Structure of Complex Lie Groups helps clarify those distinctions. Clearly written and well organized, this unique work presents material not found in other books on Lie groups and serves as an outstanding complement to them. Full Product DetailsAuthor: Dong Hoon Lee (Case Western Reserve University, Cleveland, Ohio USA) , Alan Jeffrey (University of Newcastle upon Tyne, UK) , Haim Brezis , Ronald G. Douglas (Texas A & M University)Publisher: Taylor & Francis Inc Imprint: Chapman & Hall/CRC Dimensions: Width: 15.60cm , Height: 1.40cm , Length: 23.40cm Weight: 0.430kg ISBN: 9781584882619ISBN 10: 1584882611 Pages: 228 Publication Date: 31 August 2001 Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Postgraduate, Research & Scholarly 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 ContentsReviewsAuthor InformationDong Hoon Lee Tab Content 6Author Website:Countries AvailableAll regions |
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