## Ih 점군

비가환군, 10(32) 기약 표현

#### Ih 점군에 대한 지표표

E12C512(C5)220C315C2i12S1012(S10)320S615σlinear,
rotations
Ag1111111111x2+y2+z2
T1g3-2cos(4π/5)-2cos(2π/5)0-13-2cos(2π/5)-2cos(4π/5)0-1(Rx, Ry, Rz)
T2g3-2cos(2π/5)-2cos(4π/5)0-13-2cos(4π/5)-2cos(2π/5)0-1
Gg4-1-1104-1-110
Hg500-11500-11[2z2-x2-y2, x2-y2, xy, xz, yz]
Au11111-1-1-1-1-1
T1u3-2cos(4π/5)-2cos(2π/5)0-1-32cos(2π/5)2cos(4π/5)01(x, y, z)
T2u3-2cos(2π/5)-2cos(4π/5)0-1-32cos(4π/5)2cos(2π/5)01
Gu4-1-110-411-10
Hu500-11-5001-1

#### Ih 점군의 곱셈표

AgT1gT2gGgHgAuT1uT2uGuHu
AgAgT1gT2gGgHgAuT1uT2uGuHu
T1gT1gAg+T1g+HgGg+HgT2g+Gg+HgT1g+T2g+Gg+HgT1uAu+T1u+HuGu+HuT2u+Gu+HuT1u+T2u+Gu+Hu
T2gT2gGg+HgAg+T2g+HgT1g+Gg+HgT1g+T2g+Gg+HgT2uGu+HuAu+T2u+HuT1u+Gu+HuT1u+T2u+Gu+Hu
GgGgT2g+Gg+HgT1g+Gg+HgAg+T1g+T2g+Gg+HgT1g+T2g+Gg+2HgGuT2u+Gu+HuT1u+Gu+HuAu+T1u+T2u+Gu+HuT1u+T2u+Gu+2Hu
HgHgT1g+T2g+Gg+HgT1g+T2g+Gg+HgT1g+T2g+Gg+2HgAg+T1g+T2g+2Gg+2HgHuT1u+T2u+Gu+HuT1u+T2u+Gu+HuT1u+T2u+Gu+2HuAu+T1u+T2u+2Gu+2Hu
AuAuT1uT2uGuHuAgT1gT2gGgHg
T1uT1uAu+T1u+HuGu+HuT2u+Gu+HuT1u+T2u+Gu+HuT1gAg+T1g+HgGg+HgT2g+Gg+HgT1g+T2g+Gg+Hg
T2uT2uGu+HuAu+T2u+HuT1u+Gu+HuT1u+T2u+Gu+HuT2gGg+HgAg+T2g+HgT1g+Gg+HgT1g+T2g+Gg+Hg
GuGuT2u+Gu+HuT1u+Gu+HuAu+T1u+T2u+Gu+HuT1u+T2u+Gu+2HuGgT2g+Gg+HgT1g+Gg+HgAg+T1g+T2g+Gg+HgT1g+T2g+Gg+2Hg
HuHuT1u+T2u+Gu+HuT1u+T2u+Gu+HuT1u+T2u+Gu+2HuAu+T1u+T2u+2Gu+2HuHgT1g+T2g+Gg+HgT1g+T2g+Gg+HgT1g+T2g+Gg+2HgAg+T1g+T2g+2Gg+2Hg

 C1 Cs Ci C2 C3 C4 C5 C6 C2v C3v C4v C5v C6v C2h C3h C4h C5h C6h D2 D3 D4 D5 D6 D2h D3h D4h D5h D6h D2d D3d D4d D5d D6d S4 S6 S8 S10 Td Oh Ih C∞v D∞h

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