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Nil Geometry

The Geometry of the Lie Group consisting of Real Matrices of the form

\begin{displaymath}
\left[{\matrix{1 & x & y\cr 0 & 1 & z\cr 0 & 0 & 1\cr}}\right],
\end{displaymath}

i.e., the Heisenberg Group.

See also Heisenberg Group, Lie Group, Thurston's Geometrization Conjecture




© 1996-9 Eric W. Weisstein
1999-05-25