Theorems · Definition · group theory
Rep.ofAlgebraAutOnUnits
(R : Type u_3) →
(S : Type u_4) →
[inst : CommRing R] → [inst_1 : CommRing S] → [inst_2 : Algebra R S] → Rep.{u_4, 0, u_4} ℤ (S ≃ₐ[R] S)Given an R-algebra S, the ℤ-linear representation associated to the natural action of
S ≃ₐ[R] S on Sˣ.
- Defined in
- Mathlib.RepresentationTheory.Rep.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Quot.sound
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.
Cited by2
Results whose statement or proof uses this declaration.
- groupCohomology.norm_ofAlgebraAutOnUnits_eqstatement · cited by 1
- groupCohomology.exists_div_of_norm_eq_oneproof · cited by 1