involuteEquiv — Mathlib

English

Grade involution defines an algebraic equivalence on CliffordAlgebra Q via involuteEquiv.

Русский

Градационная инволюция задаёт алгебраическое эквивалентство на CliffordAlgebra Q через involuteEquiv.

LaTeX

$$$ \mathrm{involuteEquiv} : \mathrm{CliffordAlgebra}(Q) \simeq_{R} \mathrm{CliffordAlgebra}(Q). $$$

Lean4

/-- `CliffordAlgebra.involute` as an `AlgEquiv`. -/
@[simps!]
def involuteEquiv : CliffordAlgebra Q ≃ₐ[R] CliffordAlgebra Q :=
  AlgEquiv.ofAlgHom involute involute (AlgHom.ext <| involute_involute) (AlgHom.ext <| involute_involute)

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