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Locally mixed symmetric spaces

Hunt, Bruce.

Locally mixed symmetric spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Locally mixed symmetric spacesby Bruce Hunt.
Author:	Hunt, Bruce.
Published:	Cham :Springer International Publishing :2021.
Description:	xix, 622 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Symmetric spaces.
Online resource:	https://doi.org/10.1007/978-3-030-69804-1
ISBN:	9783030698041

Locally mixed symmetric spaces
Hunt, Bruce.

Locally mixed symmetric spaces[electronic resource] /by Bruce Hunt. - Cham :Springer International Publishing :2021. - xix, 622 p. :ill. (some col.), digital ;24 cm. - Springer monographs in mathematics,2196-9922. - Springer monographs in mathematics..

Introduction -- Symmetric Spaces -- Locally Symmetric Spaces -- Locally mixed symmetric spaces -- Kuga fiber spaces -- Elliptic surfaces -- Appendices.

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.

ISBN: 9783030698041

Standard No.: 10.1007/978-3-030-69804-1doiSubjects--Topical Terms:

357419
Symmetric spaces.

LC Class. No.: QA649 / .H86 2021

Dewey Class. No.: 516.362

Locally mixed symmetric spaces
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505 0 $a Introduction -- Symmetric Spaces -- Locally Symmetric Spaces -- Locally mixed symmetric spaces -- Kuga fiber spaces -- Elliptic surfaces -- Appendices.
520 $a 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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