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Unimodular Transformation

A transformation ${\bf x}'={\hbox{\sf A}}{\bf x}$ is unimodular if the Determinant of the Matrix A satisfies

{\rm det}({\hbox{\sf A}})=\pm 1.

A Necessary and Sufficient condition that a linear transformation transform a lattice to itself is that the transformation be unimodular.

© 1996-9 Eric W. Weisstein