DibyashanuPati/PhysLean
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions

docs: Docs for FieldOpAlgebra

Browse source
This commit is contained in:
jstoobysmith 2025-02-06 13:06:51 +00:00
parent 83b1a2c87a
commit c81d6ce246
5 changed files with 60 additions and 25 deletions
Download patch file Download diff file Expand all files Collapse all files

7
HepLean/PerturbationTheory/FieldOpFreeAlgebra/Grading.lean
View file

@ -236,9 +236,10 @@ lemma directSum_eq_bosonic_plus_fermionic
conv_lhs => rw [hx, hy]
abel
/-- For a field statistic `𝓕`, the algebra `𝓕.FieldOpFreeAlgebra` is graded by `FieldStatistic`.
Those `ofCrAnListF φs` for which `φs` has `bosonic` statistics span one part of the grading,
whilst those where `φs` has `fermionic` statistics span the other part of the grading. -/
/-- For a field specification `𝓕`, the algebra `𝓕.FieldOpFreeAlgebra` is graded by `FieldStatistic`.
Those `ofCrAnListF φs` for which `φs` has an overall `bosonic` statistic span `bosonic`
submodule, whilst those `ofCrAnListF φs` for which `φs` has an overall `fermionic` statistic span
the `fermionic` submodule. -/
instance fieldOpFreeAlgebraGrade :
GradedAlgebra (A := 𝓕.FieldOpFreeAlgebra) statisticSubmodule where
one_mem := by