Overview
- Driven by numerous examples from the complex geometric viewpoint
- New results presented for the first time
- Widely accessible, with all necessary background material provided for the nonspecialist
- Comparisons with classical Barlet cycle spaces are given
- Good bibliography and index
Part of the book series: Progress in Mathematics (PM, volume 245)
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Table of contents (20 chapters)
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Introduction to Flag Domain Theory
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Cycle Spaces as Universal Domains
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Analytic and Geometric Consequences
Keywords
About this book
Reviews
From the reviews:
"Cycle spaces can be a useful tool in the study of real semisimple Lie groups, and the research monograph which is reviewed here is devoted to describing their features. The exposition … is in principle self-contained for a good graduate reader, who will also find a wealth of concrete examples. … the approach used by the authors throughout this monograph is based on a combination of group-theoretical methods … the result is an intriguing melting pot, opening interesting perspectives of interaction among different research branches." (Corrado Marastoni, Mathematical Reviews, Issue 2006 h)
“A systematic exposition of the background, methods, and recent results in the theory of cycle spaces of flag domains. … The value of this progress in mathematics volume to a wide group of researchers … is indisputable. They all will admire the volume for the many new results presented for the first time. Your reviewer would strongly recommend that you spend a few hours with this volume long enough to familiarize yourself with its contents. You’ll be back for the details when you need them.” (Current Engineering Practice, Vol. 48, 2005-2006)
Authors and Affiliations
Bibliographic Information
Book Title: Cycle Spaces of Flag Domains
Book Subtitle: A Complex Geometric Viewpoint
Authors: Gregor Fels, Alan Huckleberry, Joseph A. Wolf
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/0-8176-4479-2
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2006
Hardcover ISBN: 978-0-8176-4391-1Published: 12 December 2005
eBook ISBN: 978-0-8176-4479-6Published: 30 July 2006
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XX, 339
Topics: Differential Geometry, Topological Groups, Lie Groups, Several Complex Variables and Analytic Spaces, Global Analysis and Analysis on Manifolds, Algebraic Geometry, Quantum Physics