INTEGRITY BASES FOR VECTORS, THE CRYSTAL CLASSES,
YALE UNIV NEW HAVEN CONN
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Irreducible integrity bases are determined for an arbitrary number of absolute vectors under the transformation groups describing 31 of the 32 crystal symmetries. The fundamental theorems in invariant theory which are used in generating the integrity bases are given. The triclinic, monoclinic, rhombic, tetragonal, hexagonal, and cubic systems are considered.