Theorems · Definition · ring theory

CliffordAlgebra.involuteEquiv

{R : Type u_1} →
  [inst : CommRing R] →
    {M : Type u_2} →
      [inst_1 : AddCommGroup M] →
        [inst_2 : Module R M] → {Q : QuadraticForm R M} → CliffordAlgebra Q ≃ₐ[R] CliffordAlgebra Q

CliffordAlgebra.involute as an AlgEquiv.

Defined in: Mathlib.LinearAlgebra.CliffordAlgebra.Conjugation
Cited by: 3 results in Mathlib
Foundations: Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing AddCommGroup Module

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Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites8

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
AlgEquivstatement · cited by 1,681
QuadraticFormstatement and proof · cited by 507
CliffordAlgebrastatement · cited by 309
CliffordAlgebra.involuteproof · cited by 36
AlgEquiv.ofAlgHomproof · cited by 13

Cited by3

Results whose statement or proof uses this declaration.

CliffordAlgebra.submodule_map_involute_eq_comapproof · cited by 2
CliffordAlgebra.involuteEquiv_applystatement and proof · cited by 0
CliffordAlgebra.involuteEquiv_symm_applystatement and proof · cited by 0