Locally mixed symmetric spaces / Bruce Hunt.

Format:

Book

Author/Creator:

Hunt, Bruce, 1958-

Series:

Springer monographs in mathematics 1439-7382

Springer monographs in mathematics, 1439-7382

Language:

English

Subjects (All):

Symmetric spaces.

Physical Description:

xix, 622 pages ; 25 cm.

Place of Publication:

Cham, Switzerland : Springer, [2021]

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.

Notes:

Includes bibliographical references (pages 599-616) and index.

ISBN:

9783030698034

3030698033

OCLC:

1273305713