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Semisimple Groups and Riemannian Symmetric Spaces
Armand Borel, Institute for Advanced Study, Princeton, NJ
A publication of Hindustan Book Agency.
Hindustan Book Agency
1998; 146 pp; softcover
ISBN-10: 93-80250-22-3
ISBN-13: 978-93-80250-22-9
List Price: US$38
Member Price: US$30.40
Order Code: HIN/3.S
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Except for some minor changes, these are the notes of a series of lectures given at the Tata Institute of Fundamental Research, Mumbai. They cover some basic material on affine connections, locally or globally Riemannian and Hermitian symmetric spaces.

The last chapter proves the basic theorems on maximal compact subgroups of Lie groups with finitely many connected components. Familiarity with differential manifolds and the elementary theory of Lie groups and Lie algebras is assumed.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.


Graduate students and research mathematicians working in topological groups, Lie groups, and differential geometry.


"The book is a careful development of the theory of Riemannian symmetric spaces."

-- Mathematical Reviews

Table of Contents

  • Preliminaries
  • Orthogonal involutive Lie algebras
  • Locally symmetric spaces
  • Riemannian symmetric spaces
  • Compact groups. Klein forms of symmetric spaces
  • Hermitian symmetric spaces
  • Maximal compact subgroups of Lie groups
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