书目名称 | Locally Mixed Symmetric Spaces |
编辑 | Bruce Hunt |
视频video | |
概述 | Introduces locally mixed symmetric spaces with an emphasis on geometric concepts and relations.Focuses on examples, avoiding technicalities and assuming only a working knowledge of real Lie groups.Inc |
丛书名称 | Springer Monographs in Mathematics |
图书封面 |  |
描述 | .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.. |
出版日期 | Book 2021 |
关键词 | symmetric space; discrete; arithmetic; Lie group; fiber space; fiber bundle; arithmetic group; Shimura vari |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-69804-1 |
isbn_softcover | 978-3-030-69806-5 |
isbn_ebook | 978-3-030-69804-1Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
issn_series | 1439-7382 |
copyright | Springer Nature Switzerland AG 2021 |