Bilbao Crystallographic Server arrow COREPRESENTATIONS PG

Irreducible corepresentations of the Projective Magnetic Point Group 2m'm'


Table of characters of the unitary symmetry operations


1
2
d1
d2
A
1
1
1
1
B
1
-1
1
-1
1E
1
i
-1
-i
2E
1
-i
-1
i

Multiplication table of the symmetry operations


1
2
d1
d2
m'10
m'01
dm'10
dm'01
1
1
2
d1
d2
m'10
m'01
dm'10
dm'01
2
2
d1
d2
1
m'01
dm'10
dm'01
m'10
d1
d1
d2
1
2
dm'10
dm'01
m'10
m'01
d2
d2
1
2
d1
dm'01
m'10
m'01
dm'10
m'10
m'10
dm'01
dm'10
m'01
1
d2
d1
2
m'01
m'01
m'10
dm'01
dm'10
2
1
d2
d1
dm'10
dm'10
m'01
m'10
dm'01
d1
2
1
d2
dm'01
dm'01
dm'10
m'01
m'10
d2
d1
2
1

Table of projective phases in group multiplication


1
2
d1
d2
m'10
m'01
dm'10
dm'01
1
1
1
1
1
1
1
1
1
2
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
m'10
1
1
1
1
1
1
1
1
m'01
1
1
1
1
1
1
1
1
dm'10
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 symbolAB1E2E
1
(
1 0
0 1
)
(
1 0
0 1
)
1
1
1
1
1
2
(
-1 0
0 -1
)
(
-i 0
0 i
)
2
1
-1
i
-i
3
(
1 0
0 1
)
(
-1 0
0 -1
)
d1
1
1
-1
-1
4
(
-1 0
0 -1
)
(
i 0
0 -i
)
d2
1
-1
-i
i
5
(
-1 0
0 1
)
(
0 -i
-i 0
)
m'10
-1
-1
-1
-1
6
(
1 0
0 -1
)
(
0 -1
1 0
)
m'01
-1
1
i
-i
7
(
-1 0
0 1
)
(
0 i
i 0
)
dm'10
-1
-1
1
1
8
(
1 0
0 -1
)
(
0 1
-1 0
)
dm'01
-1
1
-i
i
k-Subgroupsmag
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