Open AccessBook
Differential Geometry and Symmetric Spaces
Sigurdur Helgason
- 01 Jan 1962
TL;DR: In this article, the classification of symmetric spaces has been studied in the context of Lie groups and Lie algebras, and a list of notational conventions has been proposed.
read more
Abstract: Elementary differential geometry Lie groups and Lie algebras Structure of semisimple Lie algebras Symmetric spaces Decomposition of symmetric spaces Symmetric spaces of the noncompact type Symmetric spaces of the compact type Hermitian symmetric spaces On the classification of symmetric spaces Functions on symmetric spaces Bibliography List of notational conventions Symbols frequently used Author index Subject index Reviews for the first edition.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
String field theory on the conformal plane. II: Generalized gluing
TL;DR: In this paper, the combination rules for these vertices were proved and the contraction of two vertices by the natural inner product on the string Hilbert space yielded just the composite vertex which would have been obtained by gluing together the two world sheets in an appropriate fashion.
283
•Journal Article
A Riemannian geometry of the multivariate normal model
TL;DR: On considere le modele normal multivariable comme une variete differentiable equipee de l'information de Fisher comme metrique de Riemann, this article
269
Homogeneous spaces defined by Lie group automorphisms. II
Joseph A. Wolf,Alfred Gray +1 more
TL;DR: In this paper, the notion of reductive Lie groups and algebras and Cartan involutions was introduced, and the compactness hypothesis on G was dropped in such a way that problems can be reduced to the compact case.
Group extensions of $p$-adic and adelic linear groups
TL;DR: In this paper, the authors present conditions générales d'utilisation (http://www.numdam.org/conditions), i.e., Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.