definition of Lie subgroup
Topics
About: group
About: \(C^\infty\) manifold
The table of contents of this article
Starting Context
- The reader knows a definition of Lie group.
- The reader knows a definition of immersed submanifold with boundary of \(C^\infty\) manifold with boundary.
Target Context
- The reader will have a definition of Lie subgroup.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Structured Description
Here is the rules of Structured Description.
Entities:
\( G'\): \(\in \{\text{ the Lie groups }\}\)
\(*G\): \(\in \{\text{ the subgroups of } G'\}\) with a topology and an atlas, \(\in \{\text{ the Lie groups }\}\)
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Conditions:
\(G \in \{\text{ the immersed submanifolds of } G'\}\)
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