The geometry of the Lie group consisting of real matrices of the form
![[1 x y; 0 1 z; 0 0 1],](/images/equations/NilGeometry/NumberedEquation1.svg) |
i.e., the Heisenberg group.
Nil Geometry
See also
Heisenberg Group, Lie Group, Thurston's Geometrization ConjectureExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Nil Geometry." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NilGeometry.html