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by
Ciro Santilli
(@cirosantilli,
32
)
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
S
O
(
3
)
and
S
U
(
2
)
,
S
U
(
2
)
is
simply connected
, but
S
O
(
3
)
is not.
Table of contents
Universal covering group
Universal covering group
Every Lie algebra has a unique single corresponding simply connected Lie group
The
unique
group referred to at:
every Lie algebra has a unique single corresponding simply connected Lie group
.
Ancestors
Two different Lie groups can have the same Lie algebra
Lie group-Lie algebra correspondence
Lie algebra
Lie group
Differential geometry
Geometry
Area of mathematics
Mathematics
Index
Incoming links
Universal covering group
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