Symmetric Spaces: Compact spaces and classification
Author: Ottmar Loos
Publisher:
Published: 1969
Total Pages:
ISBN-13: 9780805366235
DOWNLOAD EBOOKRead and Download eBook Full
Author: Ottmar Loos
Publisher:
Published: 1969
Total Pages:
ISBN-13: 9780805366235
DOWNLOAD EBOOKAuthor: Ottmar Loos
Publisher:
Published: 1969
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: Ottmar Loos
Publisher:
Published: 1969
Total Pages: 183
ISBN-13:
DOWNLOAD EBOOKAuthor: Ottmar Loos
Publisher:
Published: 1969
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Joseph Albert Wolf
Publisher:
Published: 1974
Total Pages: 438
ISBN-13:
DOWNLOAD EBOOKAuthor: Gestur Olafsson
Publisher: Academic Press
Published: 1996-09-11
Total Pages: 303
ISBN-13: 0080528724
DOWNLOAD EBOOKThis book is intended to introduce researchers and graduate students to the concepts of causal symmetric spaces. To date, results of recent studies considered standard by specialists have not been widely published. This book seeks to bring this information to students and researchers in geometry and analysis on causal symmetric spaces.Includes the newest results in harmonic analysis including Spherical functions on ordered symmetric space and the holmorphic discrete series and Hardy spaces on compactly casual symmetric spacesDeals with the infinitesimal situation, coverings of symmetric spaces, classification of causal symmetric pairs and invariant cone fieldsPresents basic geometric properties of semi-simple symmetric spacesIncludes appendices on Lie algebras and Lie groups, Bounded symmetric domains (Cayley transforms), Antiholomorphic Involutions on Bounded Domains and Para-Hermitian Symmetric Spaces
Author: Armand Borel
Publisher: Springer
Published: 1998-12-15
Total Pages: 148
ISBN-13: 9380250924
DOWNLOAD EBOOKAuthor: Sigurdur Helgason
Publisher: American Mathematical Soc.
Published: 2001-06-12
Total Pages: 682
ISBN-13: 0821828487
DOWNLOAD EBOOKA great book ... a necessary item in any mathematical library. --S. S. Chern, University of California A brilliant book: rigorous, tightly organized, and covering a vast amount of good mathematics. --Barrett O'Neill, University of California This is obviously a very valuable and well thought-out book on an important subject. --Andre Weil, Institute for Advanced Study The study of homogeneous spaces provides excellent insights into both differential geometry and Lie groups. In geometry, for instance, general theorems and properties will also hold for homogeneous spaces, and will usually be easier to understand and to prove in this setting. For Lie groups, a significant amount of analysis either begins with or reduces to analysis on homogeneous spaces, frequently on symmetric spaces. For many years and for many mathematicians, Sigurdur Helgason's classic Differential Geometry, Lie Groups, and Symmetric Spaces has been--and continues to be--the standard source for this material. Helgason begins with a concise, self-contained introduction to differential geometry. Next is a careful treatment of the foundations of the theory of Lie groups, presented in a manner that since 1962 has served as a model to a number of subsequent authors. This sets the stage for the introduction and study of symmetric spaces, which form the central part of the book. The text concludes with the classification of symmetric spaces by means of the Killing-Cartan classification of simple Lie algebras over $\mathbb{C}$ and Cartan's classification of simple Lie algebras over $\mathbb{R}$, following a method of Victor Kac. The excellent exposition is supplemented by extensive collections of useful exercises at the end of each chapter. All of the problems have either solutions or substantial hints, found at the back of the book. For this edition, the author has made corrections and added helpful notes and useful references. Sigurdur Helgason was awarded the Steele Prize for Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric Analysis.
Author: Sigurdur Helgason
Publisher: Academic Press
Published: 1979-02-09
Total Pages: 647
ISBN-13: 0080873960
DOWNLOAD EBOOKThe present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on "Groups and Geometric Analysis" it supersedes my "Differential Geometry and Symmetric Spaces," published in 1962. Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially. I felt that an expanded treatment might now be useful.
Author:
Publisher: Academic Press
Published: 1962-01-01
Total Pages: 501
ISBN-13: 0080873243
DOWNLOAD EBOOKDifferential Geometry and Symmetric Spaces