東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Locally mixed symmetric spaces

Hunt, Bruce.

Linked to FindBook

Google Book

Amazon

博客來

Locally mixed symmetric spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Locally mixed symmetric spaces/ by Bruce Hunt.
Author:	Hunt, Bruce.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xix, 622 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Introduction -- Symmetric Spaces -- Locally Symmetric Spaces -- Locally mixed symmetric spaces -- Kuga fiber spaces -- Elliptic surfaces -- Appendices.
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:

705085
Symmetric spaces.

LC Class. No.: QA649 / .H86 2021

Dewey Class. No.: 516.362

Locally mixed symmetric spaces
LDR:02162nmm a2200337 a 4500 001 2249377
003 DE-He213
005 20210904181540.0
006 m d
007 cr nn 008maaau
008 220103s2021 sz s 0 eng d
020 $a 9783030698041 $q (electronic bk.)
020 $a 9783030698034 $q (paper)
024 7 $a 10.1007/978-3-030-69804-1 $2 doi
035 $a 978-3-030-69804-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA649 $b .H86 2021
072 7 $a PBG $2 bicssc
072 7 $a MAT014000 $2 bisacsh
072 7 $a PBG $2 thema
082 0 4 $a 516.362 $2 23
090 $a QA649 $b .H939 2021
100 1 $a Hunt, Bruce. $3 3514748
245 1 0 $a Locally mixed symmetric spaces $h [electronic resource] / $c by Bruce Hunt.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xix, 622 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 2196-9922
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.
650 0 $a Symmetric spaces. $3 705085
650 1 4 $a Topological Groups, Lie Groups. $3 891005
650 2 4 $a Differential Geometry. $3 891003
650 2 4 $a Hyperbolic Geometry. $3 2072804
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Springer monographs in mathematics. $3 1535313
856 4 0 $u https://doi.org/10.1007/978-3-030-69804-1
950 $a Mathematics and Statistics (SpringerNature-11649)