Abstract
The prerequisites for this book are roughly the following:
-
(A)
Generalities about Lie groups, Lie algebras, and the correspondence between them, as expounded for instance in [2, Chap. I] or [3,4].
-
(B)
General theorems about Lie algebras over fields of characteristic zero ([1], or [6, Exp. 1 to 8]).
-
(C)
Structure of complex semi-simple Lie algebras and some results about their real forms [6,8].
-
(D)
Some facts about Linear connections and Riemannian geometry.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
N. Bourbaki, Algèbres de Lie, Actu. Sci. Ind. 1285, Hermann, Paris 1960.
F. Bruhat, On Lie groups and representations of locally compact groups, Lecture Notes, Tata Institute of Fundamental Research, Bombay, 1958.
C. Chevalley, Theory of Lie groups I, Princeton University Press, 1946.
P.M. Cohn, Lie groups, Cambridge Tracts No. 46, 1960.
H.S.M. Coxeter, Regular Polytopes, Methuen and Co., London 1948.
Seminar on Lie groups and Lie algebras, Mimeographed Notes, Paris 1955.
L. Pontrjagin, Topological groups, Princeton University Press 1946.
H. Weyl, The structure and representations of continuous groups, Notes, The Institute for Advanced Study, Princeton 1934–35.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1998 Hindustan Book Agency
About this chapter
Cite this chapter
Borel, A. (1998). Preliminaries. In: Semisimple Groups and Riemannian Symmetric Spaces. Texts and Readings in Mathematics. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-80250-92-2_1
Download citation
DOI: https://doi.org/10.1007/978-93-80250-92-2_1
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-18-0
Online ISBN: 978-93-80250-92-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)