Authors:
- Introduces locally mixed symmetric spaces with an emphasis on geometric concepts and relations
- Focuses on examples, avoiding technicalities and assuming only a working knowledge of real Lie groups
- Includes two chapters on Kuga fiber spaces and elliptic surfaces
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common? All are related to a type of manifold called locally mixed symmetric spaces in this book. The presentation emphasizes geometric concepts and relations and gives each reader the "roter Faden", starting from the basics and proceeding towards quite advanced topics which lie at the intersection of differential and algebraic geometry, algebra and topology.
Avoiding technicalities and assuming only a working knowledge of real Lie groups, the text provides a wealth of examples of symmetric spaces. The last two chapters deal with one particular case (Kuga fiber spaces) and a generalization (elliptic surfaces), both of which require some knowledge of algebraic geometry.
Of interest to topologists, differential or algebraic geometers working in areas related to arithmetic groups, the book also offers an introduction to the ideas for non-experts.
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Authors and Affiliations
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RCMB, DZ Bank, Frankfurt am Main, Germany
Bruce Hunt
About the author
Bibliographic Information
Book Title: Locally Mixed Symmetric Spaces
Authors: Bruce Hunt
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-030-69804-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-69803-4Published: 05 September 2021
Softcover ISBN: 978-3-030-69806-5Published: 06 September 2022
eBook ISBN: 978-3-030-69804-1Published: 04 September 2021
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XIX, 622
Number of Illustrations: 37 b/w illustrations, 11 illustrations in colour
Topics: Topological Groups, Lie Groups, Differential Geometry, Hyperbolic Geometry