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feat: contr_unit for Complex Lorentz Tensors

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jstoobysmith 2024-10-24 15:52:56 +00:00
parent 14377da3d8
commit 942ee12e60
4 changed files with 201 additions and 2 deletions
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8
HepLean/Tensors/ComplexLorentz/Basic.lean
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@ -167,6 +167,14 @@ def complexLorentzTensor : TensorSpecies where
| Color.downR => Fermion.altRightContraction_tmul_symm
| Color.up => Lorentz.contrCoContraction_tmul_symm
| Color.down => Lorentz.coContrContraction_tmul_symm
contr_unit := fun c =>
match c with
| Color.upL => Fermion.contr_altLeftLeftUnit
| Color.downL => Fermion.contr_leftAltLeftUnit
| Color.upR => Fermion.contr_altRightRightUnit
| Color.downR => Fermion.contr_rightAltRightUnit
| Color.up => Lorentz.contr_coContrUnit
| Color.down => Lorentz.contr_contrCoUnit
instance : DecidableEq complexLorentzTensor.C := Fermion.instDecidableEqColor