Every Lie algebra has a unique single corresponding simply connected Lie group

This simply connected is called the universal covering group.

E.g. in the case of

SO (3)

and

S U (2)

,

S U (2)

is simply connected, but

SO (3)

is not.

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- Universal covering group Every Lie algebra has a unique single corresponding simply connected Lie group

Universal covering group

The unique group referred to at: every Lie algebra has a unique single corresponding simply connected Lie group.

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