Semisimple Groups And Riemannian Symmetric Spaces
DOWNLOAD
Download Semisimple Groups And Riemannian Symmetric Spaces PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Semisimple Groups And Riemannian Symmetric Spaces book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Semisimple Groups And Riemannian Symmetric Spaces
DOWNLOAD
Author : Armand Borel
language : en
Publisher: Springer
Release Date : 1998-12-15
Semisimple Groups And Riemannian Symmetric Spaces written by Armand Borel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-15 with Mathematics categories.
Compactifications Of Symmetric And Locally Symmetric Spaces
DOWNLOAD
Author : Armand Borel
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-25
Compactifications Of Symmetric And Locally Symmetric Spaces written by Armand Borel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-25 with Mathematics categories.
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
Differential Geometry Lie Groups And Symmetric Spaces
DOWNLOAD
Author : Sigurdur Helgason
language : en
Publisher: American Mathematical Society
Release Date : 2024-12-19
Differential Geometry Lie Groups And Symmetric Spaces written by Sigurdur Helgason and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-19 with Mathematics categories.
A 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. —André 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.
Harmonic Analysis And Special Functions On Symmetric Spaces
DOWNLOAD
Author : Gerrit Heckman
language : en
Publisher: Academic Press
Release Date : 1995-02-08
Harmonic Analysis And Special Functions On Symmetric Spaces written by Gerrit Heckman and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-08 with Mathematics categories.
The two parts of this sharply focused book, Hypergeometric and Special Functions and Harmonic Analysis on Semisimple Symmetric Spaces, are derived from lecture notes for the European School of Group Theory, a forum providing high-level courses on recent developments in group theory. The authors provide students and researchers with a thorough and thoughtful overview, elaborating on the topic with clear statements of definitions and theorems and augmenting these withtime-saving examples. An extensive set of notes supplements the text.Heckman and Schlichtkrull extend the ideas of harmonic analysis on semisimple symmetric spaces to embrace the theory of hypergeometric and spherical functions and show that the K-variant Eisenstein integrals for G/H are hypergeometric functions under this theory. They lead readers from the fundamentals of semisimple symmetric spaces of G/H to the frontier, including generalization, to the Riemannian case. This volume will interest harmonic analysts, those working on or applying the theory of symmetric spaces; it will also appeal to those with an interest in special functions.Extends ideas of harmonic analysis on symmetric spacesFirst treatment of the theory to include hypergeometric and spherical functionsLinks algebraic, analytic, and geometric methods
Strong Rigidity Of Locally Symmetric Spaces
DOWNLOAD
Author : G. Daniel Mostow
language : en
Publisher: Princeton University Press
Release Date : 1973-12-21
Strong Rigidity Of Locally Symmetric Spaces written by G. Daniel Mostow and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-12-21 with Mathematics categories.
Locally 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.
Analysis On Non Riemannian Symmetric Spaces
DOWNLOAD
Author : Mogens Flensted-Jensen
language : en
Publisher: American Mathematical Soc.
Release Date : 1986-12-31
Analysis On Non Riemannian Symmetric Spaces written by Mogens Flensted-Jensen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-12-31 with Mathematics categories.
Harmonic analysis on Riemannian semisimple symmetric spaces and on special types of non-Riemannian semisimple symmetric spaces are well-established theories. This book presents a systematic treatment of the basic problems on semisimple symmetric spaces and a discussion of some of the more important recent developments in the field. The author's primary contribution has been his idea of how to construct the discrete series for such a space. In this book a fundamental role is played by the ideas behind that construction, namely the duality principle, the orbit picture related to it, and the definition of representations by means of distributions on the orbits. Intended as a text at the upper graduate level, the book assumes a basic knowledge of Fourier analysis, differential geometry, and functional analysis. In particular, the reader should have a good knowledge of the general theory of real and complex Lie algebras and Lie groups and of the root and weight theories for semisimple Lie algebras and Lie groups.
Differential Geometry And Symmetric Spaces
DOWNLOAD
Author :
language : en
Publisher: Academic Press
Release Date : 1962-01-01
Differential Geometry And Symmetric Spaces written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962-01-01 with Mathematics categories.
Differential Geometry and Symmetric Spaces
Differential Geometry And Symmetric Spaces
DOWNLOAD
Author : Sigurdur Helgason
language : en
Publisher: American Mathematical Society
Release Date : 2024-04-05
Differential Geometry And Symmetric Spaces written by Sigurdur Helgason and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-05 with Mathematics categories.
Sigurdur Helgason's Differential Geometry and Symmetric Spaces was quickly recognized as a remarkable and important book. For many years, it was the standard text both for Riemannian geometry and for the analysis and geometry of symmetric spaces. Several generations of mathematicians relied on it for its clarity and careful attention to detail. Although much has happened in the field since the publication of this book, as demonstrated by Helgason's own three-volume expansion of the original work, this single volume is still an excellent overview of the subjects. For instance, even though there are now many competing texts, the chapters on differential geometry and Lie groups continue to be among the best treatments of the subjects available. There is also a well-developed treatment of Cartan's classification and structure theory of symmetric spaces. The last chapter, on functions on symmetric spaces, remains an excellent introduction to the study of spherical functions, the theory of invariant differential operators, and other topics in harmonic analysis. This text is rightly called a classic.
Lie Groups And Symmetric Spaces
DOWNLOAD
Author : Semen Grigorʹevich Gindikin
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Lie Groups And Symmetric Spaces written by Semen Grigorʹevich Gindikin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
The book contains survey and research articles devoted mainly to geometry and harmonic analysis of symmetric spaces and to corresponding aspects of group representation theory. The volume is dedicated to the memory of Russian mathematician, F. I. Karpelevich (1927-2000). Of particular interest are the survey articles by Sawyer on the Abel transform on noncompact Riemannian symmetric spaces, and by Anker and Ostellari on estimates for heat kernels on such spaces, as well as thearticle by Bernstein and Gindikin on integral geometry for families of curves. There are also many research papers on topics of current interest. The book is suitable for graduate students and research mathematicians interested in harmonic analysis and representation theory.
Real Hypersurfaces In Hermitian Symmetric Spaces
DOWNLOAD
Author : Jürgen Berndt
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-03-21
Real Hypersurfaces In Hermitian Symmetric Spaces written by Jürgen Berndt and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-21 with Mathematics categories.
Hermitian symmetric spaces are an important class of manifolds that can be studied with methods from Kähler geometry and Lie theory. This work gives an introduction to Hermitian symmetric spaces and their submanifolds, and presents classifi cation results for real hypersurfaces in these spaces, focusing on results obtained by Jürgen Berndt and Young Jin Suh in the last 20 years.