DIFFERENTIAL GEOMETRY LIE GROUPS AND SYMMETRIC SPACES HELGASON PDF

A great book … a necessary item in any mathematical library. Chern, University of California A brilliant book: rigorous, tightly organized, and covering a vast amount of good mathematics. 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. 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 has served as a model to a number of subsequent authors.

Author:Mikanos Goltishicage
Country:Ghana
Language:English (Spanish)
Genre:Personal Growth
Published (Last):8 July 2014
Pages:425
PDF File Size:20.42 Mb
ePub File Size:18.91 Mb
ISBN:251-6-41220-217-6
Downloads:99913
Price:Free* [*Free Regsitration Required]
Uploader:Nikorg



A great book … a necessary item in any mathematical library. Chern, University of California A brilliant book: rigorous, tightly organized, and covering a vast amount of good mathematics. 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.

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 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 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. Readership Graduate students and research mathematicians interested in differential geometry, Lie groups, and symmetric spaces. View other years and volumes: Table of Contents Chapter I. Elementary differential geometry Chapter II. Structure of semisimple Lie algebras Chapter IV. Symmetric spaces Chapter V. Decomposition of symmetric spaces Chapter VI.

Symmetric spaces of the noncompact type Chapter VII. Hermitian symmetric spaces Chapter IX. Structure of semisimple Lie groups Chapter X. The classification of simple Lie algebras and of symmetric spaces Solutions to exercises.

HILAIRE BELLOC THE GREAT HERESIES PDF

Additional Material for the Book

.

I SEGRETI D ITALIA AUGIAS PDF

Differential Geometry, Lie Groups, and Symmetric Spaces

.

NIIT APTITUDE TEST QUESTIONS AND ANSWERS PDF

Differential Geometry, Lie Groups, and Symmetric Spaces

.

HP Z800 WORKSTATION SPECIFICATION PDF

.

Related Articles