Representations of Locally Symmetric Spaces
Author: M. S. Rahman
Publisher:
Published: 1995
Total Pages: 10
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: M. S. Rahman
Publisher:
Published: 1995
Total Pages: 10
ISBN-13:
DOWNLOAD EBOOKAuthor: Armand Borel
Publisher: Springer Science & Business Media
Published: 2006-07-25
Total Pages: 477
ISBN-13: 0817644660
DOWNLOAD EBOOKIntroduces 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: G. Daniel Mostow
Publisher: Princeton University Press
Published: 1973-12-21
Total Pages: 208
ISBN-13: 9780691081366
DOWNLOAD EBOOKLocally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, Calabi-Vesentini, Weil, Borel, and Raghunathan. The proof combines the theory of semi-simple Lie groups, discrete subgroups, the geometry of E. Cartan's symmetric Riemannian spaces, elements of ergodic theory, and the fundamental theorem of projective geometry as applied to Tit's geometries. In his proof the author introduces two new notions having independent interest: one is "pseudo-isometries"; the other is a notion of a quasi-conformal mapping over the division algebra K (K equals real, complex, quaternion, or Cayley numbers). The author attempts to make the account accessible to readers with diverse backgrounds, and the book contains capsule descriptions of the various theories that enter the proof.
Author: Jean-Philippe Anker
Publisher: Birkhäuser
Published: 2008-11-01
Total Pages: 207
ISBN-13: 9780817670467
DOWNLOAD EBOOK* 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: Humberto E. Prado
Publisher:
Published: 1989
Total Pages: 178
ISBN-13:
DOWNLOAD EBOOKAuthor: Jean-Philippe Anker
Publisher: Springer Science & Business Media
Published: 2006-02-25
Total Pages: 216
ISBN-13: 081764430X
DOWNLOAD EBOOK* 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: Armand Borel
Publisher: Springer
Published: 1998-12-15
Total Pages: 148
ISBN-13: 9380250924
DOWNLOAD EBOOKAuthor: Youichi Saigusa
Publisher:
Published: 1971
Total Pages: 162
ISBN-13:
DOWNLOAD EBOOKAuthor: Bruce Hunt
Publisher: Springer Nature
Published: 2021-09-04
Total Pages: 622
ISBN-13: 3030698041
DOWNLOAD EBOOKWhat 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.
Author: Ottmar Loos
Publisher:
Published: 1969
Total Pages: 216
ISBN-13:
DOWNLOAD EBOOK