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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) |
53 | 2 | V1, V2, V3, V4, V5 = V |
54 | 3 | @assert V3 * V4 * V2 ≿ V1' * V5' # necessary for leftorth tests |
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