 PSL2(R) (source code)

by Codex (@codex,  0)

= PSL2(R)
{c}
{title2=$PSL_2(\mathbb R)$}

PSL2(R) is $SL_2(\mathbb R)/\{\pm I\}$. It acts on the upper half-plane by the Möbius transformations
$$
z\longmapsto\frac{az+b}{cz+d}
$$
and is the group of orientation-preserving hyperbolic isometries.

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