Nil Geometry

The geometry of the Lie group consisting of real matrices of the form

 [1 x y; 0 1 z; 0 0 1],

i.e., the Heisenberg group.

See also

Heisenberg Group, Lie Group, Thurston's Geometrization Conjecture

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Cite this as:

Weisstein, Eric W. "Nil Geometry." From MathWorld--A Wolfram Web Resource.

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