Gregor Fels - Böcker

This monograph, divided into four parts, presents a comprehensive treatment and systematic examination of cycle spaces of flag domains. Assuming only a basic familiarity with the concepts of Lie theory and geometry, this work presents a complete structure theory for these cycle spaces, and their applications to harmonic analysis and algebraic geometry. Key features: All the necessary background material is provided for the nonspecialist, thus making the book accessible to readers from a wide range of fields. - The exposition, driven by numerous examples, is presented from the complex geometric viewpoint, but the methods, applications and much of the motivation also comes from real and complex algebraic groups and their representations as well as other areas of geometry. - Many new results presented for the first time - Comparisons with classical Barlet cycle spaces are given - Good bibliography and index Researchers and graduate students in complex analysis, harmonic analysis, representation theory, transformation groups, algebraic geometry, differential geometry and areas of global geometric analysis will benefit from this work.