Lie group: Difference between revisions
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The term '''Lie group''' could refer to any of the following: | |||
* [[Real Lie group]], corresponding to the [[field of real numbers]]. This is the ''most typical'' usage. This is typically used for a finite-dimensional Lie group over the reals. | |||
* [[Complex Lie group]], corresponding to the [[field of complex numbers]]. This is also a ''fairly typical'' usage. | |||
* [[p-adic Lie group]] | |||
* [[Real Banach Lie group]], which deals with a generalization of the concept of Lie group to possibly infinite-dimensional manifolds. | |||
* [[Complex Banach Lie group]] | |||
Revision as of 17:47, 26 February 2011
The term Lie group could refer to any of the following:
- Real Lie group, corresponding to the field of real numbers. This is the most typical usage. This is typically used for a finite-dimensional Lie group over the reals.
- Complex Lie group, corresponding to the field of complex numbers. This is also a fairly typical usage.
- p-adic Lie group
- Real Banach Lie group, which deals with a generalization of the concept of Lie group to possibly infinite-dimensional manifolds.
- Complex Banach Lie group