Theorems · Definition · group theory

lipschitzGroup

{R : Type u_1} →
  [inst : CommRing R] →
    {M : Type u_2} →
      [inst_1 : AddCommGroup M] → [inst_2 : Module R M] → (Q : QuadraticForm R M) → Subgroup (CliffordAlgebra Q)ˣ

lipschitzGroup is the subgroup closure of all the invertible elements in the form of ι Q m where ι is the canonical linear map M →ₗ[R] CliffordAlgebra Q.

Defined in

Mathlib.LinearAlgebra.CliffordAlgebra.SpinGroup

Cited by

10 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule