Theorems · Definition · group theory
FDRep.of
{R : Type u} →
{G : Type v} →
[inst : CommRing R] →
[inst_1 : Monoid G] →
{V : Type u} →
[inst_2 : AddCommGroup V] → [inst_3 : Module R V] → [Module.Finite R V] → Representation R G V → FDRep R GLift an unbundled representation to FDRep.
- Defined in
- Mathlib.RepresentationTheory.FDRep
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Monoidstatement and proof · cited by 3,887
- Module.Finitestatement and proof · cited by 1,032
- ModuleCat.ofproof · cited by 594
- RingEquiv.symmproof · cited by 567
- MulEquiv.symmproof · cited by 482
- MonoidHom.compproof · cited by 469
- Representationstatement and proof · cited by 396
- MulEquiv.toMonoidHomproof · cited by 126
- FDRepstatement · cited by 33
Cited by11
Results whose statement or proof uses this declaration.
- TannakaDuality.FiniteGroup.rightFDRepproof · cited by 6
- FDRep.scalar_product_char_eq_finrank_equivariantproof · cited by 2
- FDRep.dualTensorIsoLinHomstatement · cited by 2
- TannakaDuality.FiniteGroup.toRightFDRepComp_in_rightRegularproof · cited by 1
- FDRep.of_ρ'statement · cited by 1
- FDRep.char_dualstatement · cited by 1
- FDRep.char_linHomstatement and proof · cited by 1
- TannakaDuality.FiniteGroup.equivHom_injectiveproof · cited by 0
- FDRep.of_ρstatement and proof · cited by 0
- FDRep.dualTensorIsoLinHomAuxstatement · cited by 0
- FDRep.dualTensorIsoLinHom_hom_homstatement · cited by 0