Bilbao Crystallographic Server arrow COREPRESENTATIONS PG

Irreducible corepresentations of the Projective Magnetic Point Group m1'


Table of characters of the unitary symmetry operations


1
m01
d1
dm01
A'
1
1
1
1
A''
1
-1
1
-1
2E1E
2
0
-2
0

Multiplication table of the symmetry operations


1
m01
d1
dm01
1'
m'01
d1'
dm'01
1
1
m01
d1
dm01
1'
m'01
d1'
dm'01
m01
m01
d1
dm01
1
m'01
d1'
dm'01
1'
d1
d1
dm01
1
m01
d1'
dm'01
1'
m'01
dm01
dm01
1
m01
d1
dm'01
1'
m'01
d1'
1'
1'
m'01
d1'
dm'01
d1
dm01
1
m01
m'01
m'01
d1'
dm'01
1'
dm01
1
m01
d1
d1'
d1'
dm'01
1'
m'01
1
m01
d1
dm01
dm'01
dm'01
1'
m'01
d1'
m01
d1
dm01
1

Table of projective phases in group multiplication


1
m01
d1
dm01
1'
m'01
d1'
dm'01
1
1
1
1
1
1
1
1
1
m01
1
1
1
1
1
1
1
1
d1
1
1
1
1
1
1
1
1
dm01
1
1
1
1
1
1
1
1
1'
1
1
1
1
1
1
1
1
m'01
1
1
1
1
1
1
1
1
d1'
1
1
1
1
1
1
1
1
dm'01
1
1
1
1
1
1
1
1

Matrices of the representations of the group

The antiunitary operations are written in red color
NMatrix presentationSeitz symbolA'A''2E1E
1
(
 1 0
 0 1
)
(
 1 0
 0 1
)
1
1
1
(
 1 0
 0 1
)
2
(
  1  0
  0 -1
)
(
  0 -1
  1  0
)
m01
1
-1
(
 -i  0
  0  i
)
3
(
 1 0
 0 1
)
(
 -1  0
  0 -1
)
d1
1
1
(
 -1  0
  0 -1
)
4
(
  1  0
  0 -1
)
(
  0  1
 -1  0
)
dm01
1
-1
(
  i  0
  0 -i
)
5
(
 1 0
 0 1
)
(
 1 0
 0 1
)
1'
-1
-1
(
  0 -1
  1  0
)
6
(
  1  0
  0 -1
)
(
  0 -1
  1  0
)
m'01
-1
1
(
 0 i
 i 0
)
7
(
 1 0
 0 1
)
(
 -1  0
  0 -1
)
d1'
-1
-1
(
  0  1
 -1  0
)
8
(
  1  0
  0 -1
)
(
  0  1
 -1  0
)
dm'01
-1
1
(
  0 -i
 -i  0
)
k-Subgroupsmag
Bilbao Crystallographic Server
http://www.cryst.ehu.es 		For comments, please mail to
administrador.bcs@ehu.eus