
tensor of rank n 

orthogonal group 

ring of integers 

basis vectors 
g 
metric tensor 
K 
point group 
R 
orthogonal transformation 

cyclic group of order m 

special orthogonal group 

positive integers 

dihedral group of order n 
E 
unit transformation, matrix or element 
I 
inversion 

representation of K 

matrix representation of K 

order of K 

sum of spaces or operators 

tensor product 

element of 

basis of space or lattice 

dual space 
S 
basis transformation 

character 

value of at R 

conjugacy class 

irreducible character 

multiplicity 
N 
order of K 

dimension of irreducible representation 

order of class 

class multiplication constants 
T 
tetrahedral group 
O 
octahedral group 
I 
icosahedral group 

projective representation 

word in generators 

double group 

Euclidean group 

element of 

translation group in n dimensions 

lattice 

reciprocal lattice 

translation vector system 

vector in dual space 

group of 

point group of 

factor system 
Det(R) 
determinant of R 

Clebsch–Gordan coefficients 

timereversal operator 