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refactor: Remove super algebra file

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jstoobysmith 2024-12-22 09:55:56 +00:00
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HepLean/Mathematics/SuperAlgebra/Basic.lean
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/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import Mathlib.RingTheory.GradedAlgebra.Basic
import HepLean.Meta.Informal.Basic
/-!
# Super Algebras
A super algebra is a special type of graded algebra.
It is used in physics to model the commutator of fermionic operators among themselves,
aswell as among bosonic operators.
-/
informal_definition SuperAlgebra where
math :≈ "A super algebra is a graded algebra A with a ℤ₂ grading."
physics :≈ "A super algebra is used to model the commutator of fermionic operators among
themselves, aswell as among bosonic operators."
ref :≈ "https://en.wikipedia.org/wiki/Superalgebra"
namespace SuperAlgebra
informal_definition superCommuator where
math :≈ "The commutator which for `a ∈ Aᵢ` and `b ∈ Aⱼ` is defined as `ab - (-1)^(i * j) ba`."
deps :≈ [``SuperAlgebra]
end SuperAlgebra