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Table of Lie groups


 

This article gives a table of some common Lie groups and their associated Lie algebras.

Related Topics:
Lie group - Lie algebra

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We remark on the topological properties of the group (dimension, connectedness, compactness, the nature of the fundamental group, and whether or not they are simply connected), as well as on their algebraic properties (abelian, simple, semisimple).

Related Topics:
Topological - Dimension - Connectedness - Compactness - Fundamental group - Simply connected - Abelian - Simple - Semisimple

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For more examples of Lie groups and other related topics see the list of simple Lie groups and the List of Lie group topics.

Related Topics:
List of simple Lie groups - List of Lie group topics

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~ Table of Content ~

Introduction
Real Lie groups and their algebras
Real Lie algebras
Complex Lie groups and their algebras
Complex Lie algebras
References

 

 

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