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1 |
| -Vtr = (ℂ^3, |
2 |
| - (ℂ^4)', |
3 |
| - ℂ^5, |
4 |
| - ℂ^6, |
5 |
| - (ℂ^7)') |
6 |
| -Vℤ₂ = (ℂ[Z2Irrep](0 => 1, 1 => 1), |
7 |
| - ℂ[Z2Irrep](0 => 1, 1 => 2)', |
8 |
| - ℂ[Z2Irrep](0 => 3, 1 => 2)', |
9 |
| - ℂ[Z2Irrep](0 => 2, 1 => 3), |
10 |
| - ℂ[Z2Irrep](0 => 2, 1 => 5)) |
11 |
| -Vfℤ₂ = (ℂ[FermionParity](0 => 1, 1 => 1), |
12 |
| - ℂ[FermionParity](0 => 1, 1 => 2)', |
13 |
| - ℂ[FermionParity](0 => 3, 1 => 2)', |
14 |
| - ℂ[FermionParity](0 => 2, 1 => 3), |
15 |
| - ℂ[FermionParity](0 => 2, 1 => 5)) |
16 |
| -Vℤ₃ = (ℂ[Z3Irrep](0 => 1, 1 => 2, 2 => 2), |
17 |
| - ℂ[Z3Irrep](0 => 3, 1 => 1, 2 => 1), |
18 |
| - ℂ[Z3Irrep](0 => 2, 1 => 2, 2 => 1)', |
19 |
| - ℂ[Z3Irrep](0 => 1, 1 => 2, 2 => 3), |
20 |
| - ℂ[Z3Irrep](0 => 1, 1 => 3, 2 => 3)') |
21 |
| -VU₁ = (ℂ[U1Irrep](0 => 1, 1 => 2, -1 => 2), |
22 |
| - ℂ[U1Irrep](0 => 3, 1 => 1, -1 => 1), |
23 |
| - ℂ[U1Irrep](0 => 2, 1 => 2, -1 => 1)', |
24 |
| - ℂ[U1Irrep](0 => 1, 1 => 2, -1 => 3), |
25 |
| - ℂ[U1Irrep](0 => 1, 1 => 3, -1 => 3)') |
26 |
| -VfU₁ = (ℂ[FermionNumber](0 => 1, 1 => 2, -1 => 2), |
27 |
| - ℂ[FermionNumber](0 => 3, 1 => 1, -1 => 1), |
28 |
| - ℂ[FermionNumber](0 => 2, 1 => 2, -1 => 1)', |
29 |
| - ℂ[FermionNumber](0 => 1, 1 => 2, -1 => 3), |
30 |
| - ℂ[FermionNumber](0 => 1, 1 => 3, -1 => 3)') |
31 |
| -VCU₁ = (ℂ[CU1Irrep]((0, 0) => 1, (0, 1) => 2, 1 => 1), |
32 |
| - ℂ[CU1Irrep]((0, 0) => 3, (0, 1) => 0, 1 => 1), |
33 |
| - ℂ[CU1Irrep]((0, 0) => 1, (0, 1) => 0, 1 => 2)', |
34 |
| - ℂ[CU1Irrep]((0, 0) => 2, (0, 1) => 2, 1 => 1), |
35 |
| - ℂ[CU1Irrep]((0, 0) => 2, (0, 1) => 1, 1 => 2)') |
36 |
| -VSU₂ = (ℂ[SU2Irrep](0 => 3, 1 // 2 => 1), |
37 |
| - ℂ[SU2Irrep](0 => 2, 1 => 1), |
38 |
| - ℂ[SU2Irrep](1 // 2 => 1, 1 => 1)', |
39 |
| - ℂ[SU2Irrep](0 => 2, 1 // 2 => 2), |
40 |
| - ℂ[SU2Irrep](0 => 1, 1 // 2 => 1, 3 // 2 => 1)') |
41 |
| -VfSU₂ = (ℂ[FermionSpin](0 => 3, 1 // 2 => 1), |
42 |
| - ℂ[FermionSpin](0 => 2, 1 => 1), |
43 |
| - ℂ[FermionSpin](1 // 2 => 1, 1 => 1)', |
44 |
| - ℂ[FermionSpin](0 => 2, 1 // 2 => 2), |
45 |
| - ℂ[FermionSpin](0 => 1, 1 // 2 => 1, 3 // 2 => 1)') |
46 |
| -# VSU₃ = (ℂ[SU3Irrep]((0, 0, 0) => 3, (1, 0, 0) => 1), |
47 |
| -# ℂ[SU3Irrep]((0, 0, 0) => 3, (2, 0, 0) => 1)', |
48 |
| -# ℂ[SU3Irrep]((1, 1, 0) => 1, (2, 1, 0) => 1), |
49 |
| -# ℂ[SU3Irrep]((1, 0, 0) => 1, (2, 0, 0) => 1), |
50 |
| -# ℂ[SU3Irrep]((0, 0, 0) => 1, (1, 0, 0) => 1, (1, 1, 0) => 1)') |
51 |
| - |
52 | 1 | for V in (Vtr, Vℤ₂, Vfℤ₂, Vℤ₃, VU₁, VfU₁, VCU₁, VSU₂, VfSU₂)#, VSU₃)
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53 | 2 | V1, V2, V3, V4, V5 = V
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54 | 3 | @assert V3 * V4 * V2 ≿ V1' * V5' # necessary for leftorth tests
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