Low‐Dimensional Lattice Groups for the Continuum Mechanics of Phase Transitions in Crystals

First I review and adapt some classical and recent formulations of problems relating to the classification of two‐ and three‐dimensional lattices. Then I use these methods to calculate lattice groups that are of interest in the continuum mechanics of phase transitions in crystals, and to construct invariant neighbourhoods that are useful in the same context. The paper is designed to provide a perspective of similar calculations which employ methods of traditional crystallography. (Accepted February 9, 1998)