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PSL2(R)
(
PS
L
2
(
R
)
)
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Mathematics
Area of mathematics
Geometry and topology
Hyperbolic geometry
Poincare half-plane model
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PSL2(R) is
S
L
2
(
R
)
/
{
±
I
}
. It acts on the upper half-plane by the Möbius transformations
z
⟼
cz
+
d
a
z
+
b
(136)
and is the group of orientation-preserving hyperbolic isometries.
Ancestors
(6)
Poincare half-plane model
Hyperbolic geometry
Geometry and topology
Area of mathematics
Mathematics
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(1)
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