242
G Spinor Representations
O ∗
E × E 5/2
G 3/2
κλ
μ
ν
θα ′
00
0−1
θβ ′
1
000
ǫα ′
0
100
ǫβ ′
00−10
O ∗
E × G 3/2
E 1/2
E 5/2
G 3/2
αβα ′
β ′
κλμ
ν
θκ
000
1
√
2
1
√
2
00
0
θλ
1
√
2
000
0
−
1
√
2
00
θμ
0
−
1
√
2
00
00
−
1
√
2
0
θν
00
−
1
√
2
0
000
1
√
2
ǫκ
0
−
1
√
2
00
00
1
√
2
0
ǫλ
00
1
√
2
0
000
1
√
2
ǫμ
000
−
1
√
2
1
√
2
00
0
ǫν
1
√
2
000
0
1
√
2
00
Canonical complex T 1 and T 2 basis functions:
T 1 :| 1=
1
√
2
−|T 1x −i|T 1y
|0=|T 1z
|−1=
1
√
2
|T 1x −i|T 1y
T 2 :| 1=
1
√
2
−|T 2x −i|T 2y
|0=|T 2z
|−1=
1
√
2
|T 2x −i|T 2y