International Tables for Crystallography (2006). Vol. D, ch. 1.2, pp. 34-71
https://doi.org/10.1107/97809553602060000629

Chapter 1.2. Representations of crystallographic groups

Chapter index

axial tensors 1.2.4.1, 1.2.4.1
Burnside's theorem 1.2.2.5, 1.2.2.5
Cartesian tensors 1.2.4.1, 1.2.4.1
class multiplication constants 1.2.2.5, 1.2.2.5
Clebsch–Gordan coefficients 1.2.4.3
commutator group 1.2.2.6
contragredient 1.2.2.3
co-representations 1.2.5.5
dielectric (or electric) polarization 1.2.5.3
dielectric tensor 1.2.2.3, 1.2.2.7
Dirichlet region 1.2.3.1
double groups 1.2.2.9, 1.2.5.4, 1.2.6, 1.2.6
double space groups 1.2.3.5
dual basis 1.2.3.2, 1.2.3.2
dual lattice 1.2.6, 1.2.6
dual vectors 1.2.2.3, 1.2.2.3
electric field 1.2.2.3
equivalence class 1.2.2.5, 1.2.5.1
Euclidean group 1.2.3.1, 1.2.4.1, 1.2.4.1, 1.2.5.1, 1.2.5.2
Euclidean space 1.2.3.1, 1.2.4.1
Euclidean transformation 1.2.3.5, 1.2.4.1, 1.2.5.1, 1.2.5.3, 1.2.5.4
holohedral groups 1.2.3.4, 1.2.6
invariants 1.2.4.2
invariant tensors 1.2.1, 1.2.4.2, 1.2.7.4.3, 1.2.7.4.6
irreducible representations 1.2.2.2, 1.2.2.2, 1.2.2.4, 1.2.2.5, 1.2.2.6, 1.2.2.6, 1.2.2.6, 1.2.7.3, 1.2.3.2
of lattice translation groups 1.2.3.2
of space groups 1.2.3.3
of tensors 1.2.4.1
physically 1.2.2.6, 1.2.2.7, 1.2.6
irreducible tensors 1.2.4.1, 1.2.4.1, 1.2.4.1
lattice translation subgroup 1.2.2.1, 1.2.3.1, 1.2.3.1, 1.2.3.1, 1.2.3.1, 1.2.3.2, 1.2.3.3, 1.2.3.3
irreducible representations 1.2.3.2
magnetic field 1.2.5.3
magnetic point groups 1.2.5.1, 1.2.5.5, 1.2.6, 1.2.6.12
magnetic space groups 1.2.5.2
magnetic susceptibility 1.2.5.3
metric tensor 1.2.2.1, 1.2.2.1, 1.2.2.1, 1.2.7.3
multiplicator group 1.2.2.8, 1.2.2.8
non-symmorphic space group 1.2.3.3, 1.2.3.5
orthogonality relations 1.2.2.4, 1.2.2.5, 1.2.2.5, 1.2.2.5, 1.2.2.6, 1.2.2.8, 1.2.4.2, 1.2.5.5
outer product 1.2.2.6, 1.2.2.6
permutation tensor 1.2.7.4.6
reciprocal basis 1.2.2.3, 1.2.6
reciprocal lattice 1.2.3.2, 1.2.3.2, 1.2.3.2, 1.2.3.4, 1.2.6
reciprocal space 1.2.2.3
reducible representations 1.2.2.2
representations 1.2.1
contragredient 1.2.2.3, 1.2.2.3
gerade 1.2.2.6
of double groups 1.2.2.9, 1.2.6.7
of double space groups 1.2.3.5
of point groups 1.2.2.6, 1.2.3.4, 1.2.6
of space groups 1.2.3.4
projective 1.2.2.8, 1.2.6, 1.2.6.8
regular 1.2.2.2
spin 1.2.6.8
tensor 1.2.2.7
ungerade 1.2.2.6
Shubnikov group 1.2.5.2
spin representations 1.2.6.8
symmorphic space groups 1.2.3.3, 1.2.3.4, 1.2.3.4
tensor product space 1.2.2.7, 1.2.2.7, 1.2.2.7, 1.2.4.3, 1.2.4.3
tensor representation 1.2.2.7
tensors
transformation properties of 1.2.2.3, 1.2.2.3, 1.2.2.7, 1.2.4.1
time-reversal group 1.2.5.1, 1.2.5.1, 1.2.5.2
time-reversal operator 1.2.5.1, 1.2.5.4, 1.2.5.5
Voronoi cell 1.2.3.1, 1.2.3.2
Wigner–Seitz cell 1.2.3.1, 1.2.3.1
Wyckoff position 1.2.3.4, 1.2.3.4, 1.2.3.4, 1.2.3.4, 1.2.6