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portada Locally Mixed Symmetric Spaces
Type
Physical Book
Author
Publisher
Language
English
Pages
622
Format
Paperback
Dimensions
23.4x15.6x3.3 cm
Weight
0.89 kg.
ISBN13
9783030698065
Categories

Locally Mixed Symmetric Spaces

Bruce Hunt (Author) · Springer · Paperback

Locally Mixed Symmetric Spaces - Hunt, Bruce

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Synopsis "Locally Mixed Symmetric Spaces"

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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