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＜電子ブック＞
Locally Mixed Symmetric Spaces / by Bruce Hunt
(Springer Monographs in Mathematics. ISSN:21969922)

版	1st ed. 2021.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2021
大きさ	XIX, 622 p. 48 illus., 11 illus. in color : online resource
著者標目	*Hunt, Bruce author SpringerLink (Online service)
件　名	LCSH:Topological groups LCSH:Lie groups LCSH:Geometry, Differential LCSH:Geometry, Hyperbolic FREE:Topological Groups and Lie Groups FREE:Differential Geometry FREE:Hyperbolic Geometry
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-030-69804-1

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