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Author : Harris A. Jaffee
Publisher :
Page : 128 pages
File Size : 11,49 MB
Release : 1974
Category : Algebraic varieties
ISBN :
Author : Daniel Drucker
Publisher : American Mathematical Soc.
Page : 215 pages
File Size : 37,53 MB
Release : 1978
Category : Exceptional Lie algebras
ISBN : 082182208X
This monograph explicitly determines the "orbit structure" of all irreducible hermitian symmetric (IHS) spaces in a unified way by means of Lie algebra calculations, using J. Tits' models of the Lie algebras [script]e6 and [script]e7 in the two "exceptional" cases. An introduction to the theory of hermitian symmetric spaces is included, along with an elementary exposition of the facts from nonassociative algebra needed to understand and use Tits' constructions of all the complex exceptional simple Lie algebras and their real forms
Author : Ichiro Satake
Publisher : Princeton University Press
Page : 340 pages
File Size : 49,51 MB
Release : 2014-07-14
Category : Mathematics
ISBN : 1400856809
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.
Author : Armand Borel
Publisher : Springer Science & Business Media
Page : 477 pages
File Size : 30,74 MB
Release : 2006-07-25
Category : Mathematics
ISBN : 0817644660
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
Author : Semen Grigorʹevich Gindikin
Publisher : American Mathematical Soc.
Page : 372 pages
File Size : 27,97 MB
Release : 2003
Category : Geometry, Differential
ISBN : 9780821834725
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.
Author : Jürgen Berndt
Publisher : Walter de Gruyter GmbH & Co KG
Page : 249 pages
File Size : 31,7 MB
Release : 2022-03-21
Category : Mathematics
ISBN : 311068991X
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.
Author : Wolfgang Bertram
Publisher : Springer
Page : 285 pages
File Size : 18,10 MB
Release : 2003-07-01
Category : Mathematics
ISBN : 3540444580
The geometry of Jordan and Lie structures tries to answer the following question: what is the integrated, or geometric, version of real Jordan algebras, - triple systems and - pairs? Lie theory shows the way one has to go: Lie groups and symmetric spaces are the geometric version of Lie algebras and Lie triple systems. It turns out that both geometries are closely related via a functor between them, called the Jordan-Lie functor, which is constructed in this book. The reader is not assumed to have any knowledge of Jordan theory; the text can serve as a self-contained introduction to (real finite-dimensional) Jordan theory.
Author : Sigurdur Helgason
Publisher : Academic Press
Page : 647 pages
File Size : 19,21 MB
Release : 1979-02-09
Category : Mathematics
ISBN : 0080873960
The 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 : Francis E. Burstall
Publisher : Springer
Page : 120 pages
File Size : 13,55 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540470522
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.
Author : Vladimir Leonidovich Popov
Publisher : Springer Science & Business Media
Page : 244 pages
File Size : 17,70 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 3662056526
The book covers topics in the theory of algebraic transformation groups and algebraic varieties which are very much at the frontier of mathematical research.