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The one parameter subgroup of a Lie group for a given element of its Lie algebra is a subgroup of given by:
Intuitively, is a direction, and is how far we move along a given direction. This intuition is especially vivid in for example in the case of the Lie algebra of , the rotation group.
One parameter subgroups can be seen as the continuous analogue to the cycle of an element of a group.

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  1. Lie algebra of a matrix Lie group
  2. Matrix Lie group
  3. Important Lie group
  4. Lie group
  5. Differential geometry
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