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The product of a exponential of the compact algebra with that of the non-compact algebra recovers a simple Lie from its algebra
Ciro Santilli
(
@cirosantilli,
37
)
...
Geometry
Differential geometry
Lie group
Lie algebra
Lie group-Lie algebra correspondence
Lie algebra exponential covering problem
Updated
2025-07-16
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Example at:
Lie Groups, Physics, and Geometry by Robert Gilmore (2008)
Chapter
7
"
EXPonentiation
".
Furthermore, the non-
compact
part is always
isomorphic
to
R
n
, only the non-compact part can have more interesting structure.
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Lie algebra exponential covering problem
Lie group-Lie algebra correspondence
Lie algebra
Lie group
Differential geometry
Geometry
Area of mathematics
Mathematics
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