Theorems · Inductive type · group theory
CoxeterMatrix
Type u_1 → Type u_1
A Coxeter matrix is a symmetric matrix of natural numbers whose diagonal entries are equal to 1 and whose off-diagonal entries are not equal to 1.
- Defined in
- Mathlib.GroupTheory.Coxeter.Matrix
- Cited by
- 140 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by196
Results whose statement or proof uses this declaration.
- CoxeterSystemstatement · cited by 126
- CoxeterSystem.simplestatement and proof · cited by 73
- CoxeterSystem.wordProdstatement and proof · cited by 42
- CoxeterSystem.lengthstatement and proof · cited by 41
- CoxeterSystem.IsReducedstatement and proof · cited by 19
- CoxeterSystem.rightInvSeqstatement and proof · cited by 19
- CoxeterSystem.leftInvSeqstatement and proof · cited by 18
- CoxeterSystem.IsReflectionstatement and proof · cited by 17
- CoxeterMatrix.Mstatement and proof · cited by 13
- CoxeterSystem.inv_simplestatement and proof · cited by 12
- CoxeterMatrix.Groupstatement and proof · cited by 11
- CoxeterSystem.wordProd_nilstatement and proof · cited by 11