Bilbao Crystallographic Server arrow COREPRESENTATIONS PG

Irreducible corepresentations of the Projective Magnetic Point Group 2mm


Table of characters of the unitary symmetry operations


1
2
d2
m10
dm10
m01
dm01
d1
A1
1
1
1
1
1
A2
1
1
-1
-1
1
B2
1
-1
1
-1
1
B1
1
-1
-1
1
1
E
2
0
0
0
-2

Multiplication table of the symmetry operations


1
2
m10
m01
d1
d2
dm10
dm01
1
1
2
m10
m01
d1
d2
dm10
dm01
2
2
d1
m01
dm10
d2
1
dm01
m10
m10
m10
dm01
d1
2
dm10
m01
1
d2
m01
m01
m10
d2
d1
dm01
dm10
2
1
d1
d1
d2
dm10
dm01
1
2
m10
m01
d2
d2
1
dm01
m10
2
d1
m01
dm10
dm10
dm10
m01
1
d2
m10
dm01
d1
2
dm01
dm01
dm10
2
1
m01
m10
d2
d1

Table of projective phases in group multiplication


1
2
m10
m01
d1
d2
dm10
dm01
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
m10
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
d2
1
1
1
1
1
1
1
1
dm10
1
1
1
1
1
1
1
1
dm01
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 symbolA1A2B2B1E
1
(
1 0
0 1
)
(
1 0
0 1
)
1
1
1
1
1
(
1 0
0 1
)
2
(
-1 0
0 -1
)
(
-i 0
0 i
)
2
1
1
-1
-1
(
-i 0
0 i
)
3
(
-1 0
0 1
)
(
0 -i
-i 0
)
m10
1
-1
1
-1
(
0 -1
1 0
)
4
(
1 0
0 -1
)
(
0 -1
1 0
)
m01
1
-1
-1
1
(
0 i
i 0
)
5
(
1 0
0 1
)
(
-1 0
0 -1
)
d1
1
1
1
1
(
-1 0
0 -1
)
6
(
-1 0
0 -1
)
(
i 0
0 -i
)
d2
1
1
-1
-1
(
i 0
0 -i
)
7
(
-1 0
0 1
)
(
0 i
i 0
)
dm10
1
-1
1
-1
(
0 1
-1 0
)
8
(
1 0
0 -1
)
(
0 1
-1 0
)
dm01
1
-1
-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