Many scientific problems in various fields may have their own conditions that might not agree with the geometric structure and properties of some spaces familiar to mathematicians and geometers. Many properties of symmetric spaces can be studied through their Lie algebras and root systems, and especially the problem of classification of symmetric spaces.
This study introduced some approaches, geometrical and algebraic,
which help to give a further understanding of symmetric spaces. Symmetric space
is a very important field for understanding abstract and applied features of
spaces. This study also introduced Riemannian Manifold, Lie groups and Lie
algebras, and some of their topological and algebraic properties, with some
concentration on Lie algebras and root systems, which help classification and
many applications of symmetric spaces. The paper is an attempt to explain some
algebraic features of symmetric spaces and how to get some of their properties
using an algebraic approach, concluded with some results.
Author (s) Details
Umsalama Ahmed Abd
Alla Elemam
Department of Mathematics, Jazan University Al- Dayer University College,
Kingdom of Saudi Arabia.
Please see the book here:- https://doi.org/10.9734/bpi/mcscd/v10/3301
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