Theorems · Theorem · group theory
Representation.isProj_averageMap
∀ {k : Type u_1} {G : Type u_2} {V : Type u_3} [inst : CommRing k] [inst_1 : Group G] [inst_2 : AddCommGroup V]
[inst_3 : Module k V] (ρ : Representation k G V) [inst_4 : Fintype G] [inst_5 : Invertible ↑(Fintype.card G)],
LinearMap.IsProj ρ.invariants ρ.averageMap- Defined in
- Mathlib.RepresentationTheory.Invariants
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Fintypestatement and proof · cited by 7,736
- Groupstatement and proof · cited by 6,238
- Fintype.cardstatement and proof · cited by 1,386
- Invertiblestatement and proof · cited by 549
- Representationstatement and proof · cited by 396
- Representation.invariantsstatement · cited by 49
- LinearMap.IsProjstatement · cited by 23
Cited by2
Results whose statement or proof uses this declaration.
- FDRep.average_char_eq_finrank_invariantsproof · cited by 1
- Representation.card_inv_mul_sum_char_eq_finrankproof · cited by 1