International Tables for Crystallography (2013). Vol. D, ch. 1.2, pp. 34-71
https://doi.org/10.1107/97809553602060000901

Chapter 1.2. Representations of crystallographic groups

Chapter index

axial tensors 1.2.4.1, 1.2.4.1
axial vectors 1.2.4.1
Brillouin-zone boundary 1.2.3.3, 1.2.3.3
Burnside's theorem 1.2.2.5, 1.2.2.5
Cartesian tensors 1.2.4.1, 1.2.4.1, 1.2.4.1
class multiplication constants 1.2.2.5, 1.2.2.5
class multiplication table 1.2.2.5
Clebsch–Gordan coefficients 1.2.4.3, 1.2.4.3, 1.2.4.3, 1.2.4.3
commutator group 1.2.2.6
conjugate subgroups 1.2.2.5
contragredient 1.2.2.3, 1.2.2.3
co-representations 1.2.5.5, 1.2.5.5, 1.2.5.5
degeneracy 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, 1.2.3.5, 1.2.5.4, 1.2.6, 1.2.6, 1.2.6
double space groups 1.2.3.5, 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
eigenvalues 1.2.2.2, 1.2.2.2
elastic constants 1.2.7.3, 1.2.7.3
electric field 1.2.2.3, 1.2.5.3
equivalence class 1.2.2.5, 1.2.2.8, 1.2.5.1, 1.2.5.2
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
icosahedral groups 1.2.2.6, 1.2.6
invariant tensors 1.2.1, 1.2.1, 1.2.4.1, 1.2.4.2, 1.2.7.4.3, 1.2.7.4.6
inversion 1.2.2.1, 1.2.5.3
irreducible projective representations
tables 1.2.6.10
irreducible tensors 1.2.4.1, 1.2.4.1, 1.2.4.1
kernel 1.2.2.2
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, 1.2.3.2, 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, 1.2.5.2
magnetic susceptibility 1.2.5.3
magnetic symmetry 1.2.5, 1.2.5.4
magneto-electric 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
multiplier representations 1.2.2.8
non-symmorphic space group 1.2.3.3, 1.2.3.5
outer product 1.2.2.6, 1.2.2.6
periodic boundary conditions 1.2.3.2
permutation tensor 1.2.7.4.6, 1.2.7.4.6
projection operator 1.2.4.2, 1.2.5.3
projective representations 1.2.2.8, 1.2.2.9, 1.2.2.9, 1.2.3.3, 1.2.3.4, 1.2.3.4, 1.2.3.5, 1.2.6
pseudotensor character 1.2.5.3
ray representations 1.2.2.8
reciprocal basis 1.2.2.3, 1.2.6
reciprocal lattice 1.2.3.2, 1.2.3.2, 1.2.3.2, 1.2.3.2, 1.2.3.4, 1.2.6
reciprocal-lattice vector 1.2.3.3
reciprocal-lattice vectors 1.2.3.2, 1.2.3.4
reciprocal space 1.2.2.3
reducible representations 1.2.2.2, 1.2.2.2, 1.2.2.5, 1.2.2.7, 1.2.2.8, 1.2.4.1
representations 1.2.1, 1.2.2.2, 1.2.2.2, 1.2.2.4
contragredient 1.2.2.3, 1.2.2.3
gerade 1.2.2.6
of double groups 1.2.2.9
of double point groups 1.2.6.7
of double space groups 1.2.3.5, 1.2.3.5
of point groups 1.2.1, 1.2.2.6, 1.2.3.4, 1.2.6
of space groups 1.2.3.4
regular 1.2.2.2, 1.2.2.5
spin 1.2.6.8
tensor 1.2.2.7
ungerade 1.2.2.6
Schoenflies symbols 1.2.6
Schrödinger equation 1.2.5.4
selection rules 1.2.1
Shubnikov group 1.2.5.2
site symmetry 1.2.3.4, 1.2.6
spherical harmonics 1.2.2.7
spin representations 1.2.6.8
susceptibility 1.2.5.3
susceptibility tensor 1.2.5.3
symmorphic space groups 1.2.3.3, 1.2.3.4, 1.2.3.4
tensor product representation 1.2.2.7, 1.2.4.1
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 1.2.1, 1.2.5.1, 1.2.5.3
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, 1.2.3.2