Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Jump to bottom

[Merged by Bors] - feat(LinearAlgebra/Matrix): define projective special linear group #7791

Closed
wants to merge 6 commits into from
Closed

[Merged by Bors] - feat(LinearAlgebra/Matrix): define projective special linear group #7791

Changes from 1 commit
Commits
Show all changes
6 commits
Select commit Hold shift + click to select a range
c74c004
feat(LinearAlgebra/Matrix): define projective special linear group
shuxuezhuyi Oct 20, 2023
2afc1ca
docs
shuxuezhuyi Oct 20, 2023
99598c4
use abbrev instead of def
shuxuezhuyi Oct 21, 2023
f727288
notation docstring
shuxuezhuyi Oct 21, 2023
addc278
chore: bump lean toolchain
digama0 Oct 21, 2023
79576bc
Merge branch 'master' into WenYang/PSL
YaelDillies Dec 12, 2023
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
Prev Previous commit
Next Next commit
notation docstring
  • Loading branch information
@shuxuezhuyi
shuxuezhuyi committed Oct 21, 2023
commit f7272883938af803103b2fd1375a0fd4377ff8ce
8 changes: 7 additions & 1 deletion Mathlib/LinearAlgebra/Matrix/ProjectiveSpecialLinearGroup.lean
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -7,6 +7,12 @@ import Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup

/-!
# Projective Special Linear Group
shuxuezhuyi marked this conversation as resolved.
Show resolved Hide resolved

## Notation

In the `MatrixGroups` locale:

* `PSL(n, R)` is a shorthand for `Matrix.ProjectiveSpecialLinearGroup (Fin n) R`
-/

namespace Matrix
Expand All @@ -20,7 +26,7 @@ open scoped MatrixGroups
variable (n : Type u) [DecidableEq n] [Fintype n] (R : Type v) [CommRing R]

/-- A projective special linear group is the quotient of a special linear group by its center.-/
abbrev ProjectiveSpecialLinearGroup :=
abbrev ProjectiveSpecialLinearGroup : Type _ :=
SpecialLinearGroup n R ⧸ Subgroup.center (SpecialLinearGroup n R)

/-- `PSL(n, R)` is the projective special linear group `SL(n, R)/Z(SL(n, R))`.-/
Expand Down