# lie transformation in a sentence

- In particular, points are not preserved by general
*Lie transformations*. - Lie sphere geometry is the geometry of the Lie quadric and the
*Lie transformations* which preserve it. - The
*Lie transformations* preserve the contact elements, and act transitively on " Z " 3. - The fact that
*Lie transformations* do not preserve points in general can also be a hindrance to understanding Lie sphere geometry. - The subgroup of
*Lie transformations* preserving the point cycles is essentially the subgroup of orthogonal transformations which preserve the chosen timelike direction. - It's difficult to find
*lie transformation* in a sentence. - The group of
*Lie transformations* is now O ( n + 1, 2 ) and the Lie transformations preserve incidence of Lie cycles. - The group of Lie transformations is now O ( n + 1, 2 ) and the
*Lie transformations* preserve incidence of Lie cycles. - It can also be characterized as the centralizer of the involution " & rho; ", which is itself a
*Lie transformation*. - This geometry can be difficult to visualize because
*Lie transformations* do not preserve points in general : points can be transformed into circles ( or spheres ). - This identification is not invariant under
*Lie transformations* : in Lie invariant terms, " Z " 2 " n " 1 is the space of ( projective ) lines on the Lie quadric.