Symmetric Spaces of Noncompact type

Martin Moskowitz mmoskowi@mat.uniroma2.it

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Abstract

This article gives a detailed introduction to symmetric spaces of non-compact type and their relation to corresponding semisimple lie groups. This is done more or less from scratch and explicitely without the reader having to know large parts of modern differential geometry

Keywords

Semisimple Lie group and Lie algebra of non-compact type , Maximal compact subgroup and maximal subalgebra of compact type and their conjugacy. Cartan and polar decomposition , rank , irreducible symmetric space , isometry group , Killing form , exponential map , Cartan involution , law of cosines , two point homogeneous space

Martin Moskowitz Department of Mathematics, CUNY Graduate Center 365 Fifth Ave. New York NY 10016. USA.

Pages: 111 - 138
Date Published: 2005-08-01
Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal

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Published

2005-08-01

How to Cite

[1]

M. Moskowitz, “Symmetric Spaces of Noncompact type”, CUBO, vol. 7, no. 2, pp. 111–138, Aug. 2005.

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Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal

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Articles

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M. Sabet, R. G. Sanati, Topological algebras with subadditive boundedness radius , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
Rubén A. Hidalgo, Una observación sencilla sobre vectores de constantes de Riemann y divisores no-especiales de curvas generalizadas de Fermat , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
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