Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Semisimple Groups And Riemannian Symmetric Spaces
Download Semisimple Groups And Riemannian Symmetric Spaces full books in PDF, epub, and Kindle. Read online Semisimple Groups And Riemannian Symmetric Spaces ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Semisimple Groups and Riemannian Symmetric Spaces by : Armand Borel
Download or read book Semisimple Groups and Riemannian Symmetric Spaces written by Armand Borel and published by Springer. This book was released on 1998-12-15 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis on Non-Riemannian Symmetric Spaces by : Mogens Flensted-Jensen
Download or read book Analysis on Non-Riemannian Symmetric Spaces written by Mogens Flensted-Jensen and published by American Mathematical Soc.. This book was released on 1986-12-31 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Lie Groups and Symmetric Spaces by : Semen Grigorʹevich Gindikin
Download or read book Lie Groups and Symmetric Spaces written by Semen Grigorʹevich Gindikin and published by American Mathematical Soc.. This book was released on 2003 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Strong Rigidity of Locally Symmetric Spaces by : G. Daniel Mostow
Download or read book Strong Rigidity of Locally Symmetric Spaces written by G. Daniel Mostow and published by Princeton University Press. This book was released on 1973-12-21 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Generalized Symmetric Spaces by : O. Kowalski
Download or read book Generalized Symmetric Spaces written by O. Kowalski and published by Springer. This book was released on 2007-02-08 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Compactifications of Symmetric and Locally Symmetric Spaces by : Armand Borel
Download or read book Compactifications of Symmetric and Locally Symmetric Spaces written by Armand Borel and published by Springer Science & Business Media. This book was released on 2006-07-25 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Differential Geometry, Lie Groups, and Symmetric Spaces by : Sigurdur Helgason
Download or read book Differential Geometry, Lie Groups, and Symmetric Spaces written by Sigurdur Helgason and published by American Mathematical Soc.. This book was released on 2001-06-12 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. --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.
Book Synopsis Symmetric Spaces; Short Courses Presented at Washington University by : William Munger Boothby
Download or read book Symmetric Spaces; Short Courses Presented at Washington University written by William Munger Boothby and published by . This book was released on 1972 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Geometry and Symmetric Spaces by : Sigurdur Helgason
Download or read book Differential Geometry and Symmetric Spaces written by Sigurdur Helgason and published by American Mathematical Society. This book was released on 2024-04-05 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Symmetric Spaces: General theory by : Ottmar Loos
Download or read book Symmetric Spaces: General theory written by Ottmar Loos and published by . This book was released on 1969 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Harmonic Analysis and Special Functions on Symmetric Spaces by : Gerrit Heckman
Download or read book Harmonic Analysis and Special Functions on Symmetric Spaces written by Gerrit Heckman and published by Academic Press. This book was released on 1995-02-08 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Lie Groups I written by Mikio Ise and published by American Mathematical Soc.. This book was released on 1991 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a wide range of problems connected with rational approximations of numbers and analytic functions; these problems touch on many topics in contemporary analysis, such as analytic functions, orthogonal polynomials, spectral theory of operators, and potential theory.
Book Synopsis Algebraic Structures of Symmetric Domains by : Ichiro Satake
Download or read book Algebraic Structures of Symmetric Domains written by Ichiro Satake and published by Princeton University Press. This book was released on 2014-07-14 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive treatment of the general (algebraic) theory of symmetric domains. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Book Synopsis Integrable Systems on Lie Algebras and Symmetric Spaces by : A. T. Fomenko
Download or read book Integrable Systems on Lie Algebras and Symmetric Spaces written by A. T. Fomenko and published by CRC Press. This book was released on 1988 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second volume in the series, translated from the Russian, sets out new regular methods for realizing Hamilton's canonical equations in Lie algebras and symmetric spaces. Begins by constructing the algebraic embeddings in Lie algebras of Hamiltonian systems, going on to present effective methods for constructing complete sets of functions in involution on orbits of coadjoint representations of Lie groups. Ends with the proof of the full integrability of a wide range of many- parameter families of Hamiltonian systems that allow algebraicization. Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis Twistor Theory for Riemannian Symmetric Spaces by : Francis E. Burstall
Download or read book Twistor Theory for Riemannian Symmetric Spaces written by Francis E. Burstall and published by Springer. This book was released on 2006-11-14 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph on twistor theory and its applications to harmonic map theory, a central theme is the interplay between the complex homogeneous geometry of flag manifolds and the real homogeneous geometry of symmetric spaces. In particular, flag manifolds are shown to arise as twistor spaces of Riemannian symmetric spaces. Applications of this theory include a complete classification of stable harmonic 2-spheres in Riemannian symmetric spaces and a Bäcklund transform for harmonic 2-spheres in Lie groups which, in many cases, provides a factorisation theorem for such spheres as well as gap phenomena. The main methods used are those of homogeneous geometry and Lie theory together with some algebraic geometry of Riemann surfaces. The work addresses differential geometers, especially those with interests in minimal surfaces and homogeneous manifolds.
Book Synopsis Causal Symmetric Spaces by : Gestur Olafsson
Download or read book Causal Symmetric Spaces written by Gestur Olafsson and published by Academic Press. This book was released on 1996-09-11 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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
Download or read book Lie Theory written by Jean-Philippe Anker and published by Birkhäuser. This book was released on 2008-11-01 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: * 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