Author: Bruce Hunt
Publisher: Springer Nature
ISBN: 3030698041
Category : Mathematics
Languages : en
Pages : 622
Book Description
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.
Locally Mixed Symmetric Spaces
Author: Bruce Hunt
Publisher: Springer Nature
ISBN: 3030698041
Category : Mathematics
Languages : en
Pages : 622
Book Description
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.
Publisher: Springer Nature
ISBN: 3030698041
Category : Mathematics
Languages : en
Pages : 622
Book Description
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.
Locally Symmetric Spaces
Author: Isidore Bernard Fleischer
Publisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages : 78
Book Description
Publisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages : 78
Book Description
Locally Symmetric Spaces
Author: Birgit Speh
Publisher:
ISBN:
Category :
Languages : en
Pages : 23
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 23
Book Description
On Locally Symmetric Spaces of Arithmetic Type
Author: Youichi Saigusa
Publisher:
ISBN:
Category : Asymptotes
Languages : en
Pages : 162
Book Description
Publisher:
ISBN:
Category : Asymptotes
Languages : en
Pages : 162
Book Description
The Asymptotic Geometry of Locally Symmetric Spaces
Author: Enrico Leuzinger
Publisher:
ISBN:
Category :
Languages : en
Pages : 55
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 55
Book Description
Representations of Locally Symmetric Spaces
Author: M. S. Rahman
Publisher:
ISBN:
Category :
Languages : en
Pages : 10
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 10
Book Description
Local Representations of Symmetric Spaces and O-S Positivity
Author: Humberto E. Prado
Publisher:
ISBN:
Category : Hilbert space
Languages : en
Pages : 178
Book Description
Publisher:
ISBN:
Category : Hilbert space
Languages : en
Pages : 178
Book Description
Compactifications of Symmetric and Locally Symmetric Spaces
Author: Armand Borel
Publisher: Springer Science & Business Media
ISBN: 0817644660
Category : Mathematics
Languages : en
Pages : 477
Book Description
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
Publisher: Springer Science & Business Media
ISBN: 0817644660
Category : Mathematics
Languages : en
Pages : 477
Book Description
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
Computations in Local Real Symmetric Spaces
Author: Linda A. Jaycox
Publisher:
ISBN:
Category : Symmetric spaces
Languages : en
Pages : 184
Book Description
Publisher:
ISBN:
Category : Symmetric spaces
Languages : en
Pages : 184
Book Description
Benjamini-Schramm Convergence of Locally Symmetric Spaces
Author: Mikołaj Frączyk
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description