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

feat: Add informal superalgebra

Browse source
This commit is contained in:
jstoobysmith 2024-12-03 15:08:14 +00:00
parent fed6fdcd0c
commit 93bc4e19d9
4 changed files with 28 additions and 3 deletions
Download patch file Download diff file Expand all files Collapse all files

23
HepLean/Mathematics/SuperAlgebra/Basic.lean Normal file
View file

@ -0,0 +1,23 @@
/-
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
/-!
# 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"