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Every Lie algebra has a unique single corresponding simply connected Lie group
Two different Lie groups can have the same Lie algebra
toc
nosplit
words:
23
This
simply connected
is called the
universal covering group
.
E.g. in the case of
$SO(3)$
and
$SU(2)$
,
$SU(2)$
is
simply connected
, but
$SO(3)$
is not.
Table of contents
23
Universal covering group
link
nosplit
Every Lie algebra has a unique single corresponding simply connected Lie group
6
Ancestors
Two different Lie groups can have the same Lie algebra
Lie group-Lie algebra correspondence
Lie algebra
Lie group
Differential geometry
Geometry
Mathematics
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Universal covering group