Basic Lie Theory
eBook - PDF

Basic Lie Theory

  1. 444 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

About this book

This volume provides a comprehensive treatment of basic Lie theory, primarily directed toward graduate study. The text is ideal for a full graduate course in Lie groups and Lie algebras. However, the book is also very usable for a variety of other courses: a one-semester course in Lie algebras, or on Haar measure and its applications, for advanced undergraduates; or as the text for one-semester graduate courses in Lie groups and symmetric spaces of non-compact type, or on lattices in Lie groups. The material is complete and detailed enough to be used for self-study; it can also serve as a reference work for professional mathematicians working in other areas. The book's utility for such a varied readership is enhanced by a diagram showing the interdependence of the separate chapters so that individual chapters and the material they depend upon can be selected, while others can be skipped.

The book incorporates many of the most significant discoveries and pioneering contributions of the masters of the subject: Borel, Cartan, Chevalley, Iwasawa, Mostow, Siegel, and Weyl, among others.

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Yes, you can access Basic Lie Theory by Hossein Abbaspour, Martin Moskowitz;;; in PDF and/or ePUB format, as well as other popular books in Mathematics & Abstract Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
WSPC
Year
2007
eBook ISBN
9789813101562

Table of contents

  1. Contents
  2. Preface and Acknowledgments
  3. Notations
  4. 0 Lie Groups and Lie Algebras; Introduction
  5. 1 Lie Groups
  6. 2 Haar Measure and its Applications
  7. 3 Elements of the Theory of Lie Algebras
  8. 4 The Structure of Compact Connected Lie Groups
  9. 5 Representations of Compact Lie Groups
  10. 6 Symmetric Spaces of Non-compact Type
  11. 7 Semisimple Lie Algebras and Lie Groups
  12. 8 Lattices in Lie Groups
  13. 9 Density Results for Co nite Volume Subgroups
  14. A Vector Fields
  15. B The Kronecker Approximation Theorem
  16. C Properly Discontinuous Actions
  17. D The Analyticity of Smooth Lie Groups
  18. Bibliography
  19. Index