Theorems · Definition · ring theory
CliffordAlgebra
{R : Type u_1} →
[inst : CommRing R] →
{M : Type u_2} → [inst_1 : AddCommGroup M] → [inst_2 : Module R M] → QuadraticForm R M → Type (max u_1 u_2)The Clifford algebra of an R-module M equipped with a QuadraticForm Q.
- Cited by
- 309 results in Mathlib
- Foundations
- Depth 40 from the axioms, rests on 437 definitions · uses propext, Quot.sound
- Assumes
- CommRingAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- QuadraticFormstatement and proof · cited by 507
- RingCon.Quotientproof · cited by 118
- CliffordAlgebra.ringConproof · cited by 0
Cited by370
Results whose statement or proof uses this declaration.
- CliffordAlgebra.ιstatement · cited by 142
- ExteriorAlgebraproof · cited by 131
- CliffordAlgebra.reversestatement · cited by 50
- CliffordAlgebra.involutestatement · cited by 36
- CliffordAlgebra.evenOddstatement · cited by 35
- pinGroupstatement and proof · cited by 25
- CliffordAlgebra.evenstatement · cited by 23
- spinGroupstatement · cited by 23
- CliffordAlgebra.contractLeftstatement · cited by 22
- CliffordAlgebra.foldrstatement · cited by 18
- CliffordAlgebra.hom_extstatement and proof · cited by 17
- CliffordAlgebra.lift_ι_applystatement · cited by 15
Showing the 200 most cited of 370.