[PDF] Compactifications Of Symmetric And Locally Symmetric Spaces eBook

Author : Armand Borel
Publisher : Springer Science & Business Media
Page : 477 pages
File Size : 25,46 MB
Release : 2006-07-25
Category : Mathematics
ISBN : 0817644660

GET BOOK

Introduces uniform constructions of most of the known compactifications of symmetric and locally symmetric spaces, with emphasis on their geometric and topological structures Relatively self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to analysis, number theory, algebraic geometry and algebraic topology

Author : Yves Guivarc'h
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 40,68 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461224527

GET BOOK

The concept of symmetric space is of central importance in many branches of mathematics. Compactifications of these spaces have been studied from the points of view of representation theory, geometry, and random walks. This work is devoted to the study of the interrelationships among these various compactifications and, in particular, focuses on the martin compactifications. It is the first exposition to treat compactifications of symmetric spaces systematically and to uniformized the various points of view. The work is largely self-contained, with comprehensive references to the literature. It is an excellent resource for both researchers and graduate students.

Author : Avner Ash
Publisher : Cambridge University Press
Page : 241 pages
File Size : 27,88 MB
Release : 2010-01-14
Category : Mathematics
ISBN : 0521739551

GET BOOK

The new edition of this celebrated and long-unavailable book preserves the original book's content and structure and its unrivalled presentation of a universal method for the resolution of a class of singularities in algebraic geometry.

Author : Jean-Philippe Anker
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 34,51 MB
Release : 2006-02-25
Category : Mathematics
ISBN : 081764430X

GET BOOK

* Focuses on two fundamental questions related to semisimple Lie groups: the geometry of Riemannian symmetric spaces and their compactifications, and branching laws for unitary representations * Wide applications of compactification techniques * Concrete examples and relevant exercises engage the reader * Knowledge of basic representation theory of Lie groups, semisimple Lie groups and symmetric spaces is required

Author : Jean-Philippe Anker
Publisher : Birkhäuser
Page : 207 pages
File Size : 29,42 MB
Release : 2008-11-01
Category : Mathematics
ISBN : 9780817670467

GET BOOK

* Focuses on two fundamental questions related to semisimple Lie groups: the geometry of Riemannian symmetric spaces and their compactifications, and branching laws for unitary representations * Wide applications of compactification techniques * Concrete examples and relevant exercises engage the reader * Knowledge of basic representation theory of Lie groups, semisimple Lie groups and symmetric spaces is required

Author :
Publisher :
Page : 230 pages
File Size : 32,62 MB
Release : 2010
Category : Algebraic varieties
ISBN : 9781107207592

GET BOOK

The new edition of this celebrated and long-unavailable book preserves the original book's content and structure and its unrivalled presentation of a universal method for the resolution of a class of singularities in algebraic geometry. At the same time, the book has been completely re-typeset, errors have been eliminated, proofs have been streamlined, the notation has been made consistent and uniform, an index has been added, and a guide to recent literature has been added. The book brings together ideas from algebraic geometry, differential geometry, representation theory and number theory, and will continue to prove of value for researchers and graduate students in these areas.

Author : Bruce Hunt
Publisher : Springer Nature
Page : 622 pages
File Size : 45,85 MB
Release : 2021-09-04
Category : Mathematics
ISBN : 3030698041

GET BOOK

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.