Locally mixed symmetric spaces / Bruce Hunt.
Hunt, Bruce, 1958- author.
2021
QA649 .H86 2021
Available Online

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Title Locally mixed symmetric spaces / Bruce Hunt.
Author Hunt, Bruce, 1958- author.
ISBN 9783030698041 (electronic bk.)
3030698041 (electronic bk.)
9783030698034
3030698033
DOI https://doi.org/10.1007/978-3-030-69804-1
Published Cham : Springer, [2021]
Copyright ©2021
Language English
Description 1 online resource : illustrations (some color)
Item Number 10.1007/978-3-030-69804-1 doi
Call Number QA649 .H86 2021
Dewey Decimal Classification 516.3/62
Summary 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
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed September 15, 2021).
Series Springer monographs in mathematics. 2196-9922
Available in Other Form Locally mixed symmetric spaces.
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Introduction
Symmetric Spaces
Locally Symmetric Spaces
Locally mixed symmetric spaces
Kuga fiber spaces
Elliptic surfaces
Appendices.

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