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, as well as their applications to harmonic
analysis and algebraic geometry.
Key features:
* Accessible to readers from a wide range of fields, with all
the necessary background material provided for the
nonspecialist
* Many new results presented for the first time
* Driven by numerous examples
* The exposition is presented from the complex geometric
viewpoint, but the methods, applications and much of the motivation
also come from real and complex algebraic groups and their
representations, as well as other areas of geometry
* Comparisons with classical Barlet cycle spaces are given
* Good bibliography and index.
Researchers and graduate students in differential geometry,
complex analysis, harmonic analysis, representation theory,
transformation groups, algebraic geometry, and areas of global
geometric analysis will benefit from this work.
General
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