This article gives a table of some common Lie groups and their associated Lie algebras. The following are noted: 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). For more examples of Lie groups and other related topics see the list of simple Lie groups; the Bianchi classification of groups of up to three dimensions; and the list of Lie group topics. |

- Mathematical examples
- Curves
- Complex reflection groups
- Complexity classes
- Examples in general topology
- Finite simple groups
- Fourier-related transforms
- Mathematical functions
- Mathematical knots and links
- Manifolds
- Mathematical shapes
- Matrices
- Numbers
- Polygons, polyhedra and polytopes
- Regular polytopes
- Simple Lie groups
- Small groups
- Special functions and eponyms
- Algebraic surfaces
- Surfaces
- Table of Lie groups

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