feat: Informal superCommuator
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@ -21,3 +21,11 @@ informal_definition SuperAlgebra where
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physics :≈ "A super algebra is used to model the commutator of fermionic operators among
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themselves, aswell as among bosonic operators."
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ref :≈ "https://en.wikipedia.org/wiki/Superalgebra"
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namespace SuperAlgebra
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informal_definition superCommuator where
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math :≈ "The commutator which for `a ∈ Aᵢ` and `b ∈ Aⱼ` is defined as `ab - (-1)^(i * j) ba`."
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deps :≈ [``SuperAlgebra]
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end SuperAlgebra
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@ -27,7 +27,8 @@ inductive WickContract : {ni : ℕ} → {i : Fin ni → S.𝓯} → {n : ℕ}
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(str : WickString i c o final) →
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{k : ℕ} → (b1 : Fin k → Fin n) → (b2 : Fin k → Fin n) → Type where
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| string {ni : ℕ} {i : Fin ni → S.𝓯} {n : ℕ} {c : Fin n → S.𝓯}
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{no : ℕ} {o : Fin no → S.𝓯} {str : WickString i c o final} : WickContract str Fin.elim0 Fin.elim0
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{no : ℕ} {o : Fin no → S.𝓯}
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{str : WickString i c o final} : WickContract str Fin.elim0 Fin.elim0
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| contr {ni : ℕ} {i : Fin ni → S.𝓯} {n : ℕ} {c : Fin n → S.𝓯}
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{no : ℕ} {o : Fin no → S.𝓯} {str : WickString i c o final} {k : ℕ}
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{b1 : Fin k → Fin n} {b2 : Fin k → Fin n} : (i : Fin n) →
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