Theorems · Definition · nonassociative algebras
HVertexOperator.coeff
{Γ : Type u_1} →
[inst : PartialOrder Γ] →
{R : Type u_2} →
{V : Type u_3} →
{W : Type u_4} →
[inst_1 : CommRing R] →
[inst_2 : AddCommGroup V] →
[inst_3 : Module R V] →
[inst_4 : AddCommGroup W] → [inst_5 : Module R W] → HVertexOperator Γ R V W →ₗ[R] Γ → V →ₗ[R] WThe coefficients of a heterogeneous vertex operator, viewed as a linear map to formal power series with coefficients in linear maps.
- Defined in
- Mathlib.Algebra.Vertex.HVertexOperator
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- 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
- PartialOrderstatement and proof · cited by 6,410
- Equiv.symmproof · cited by 3,681
- HahnSeries.coeffproof · cited by 235
- HahnModulestatement · cited by 51
- HahnModule.ofproof · cited by 43
- HVertexOperatorstatement and proof · cited by 16
Cited by14
Results whose statement or proof uses this declaration.
- VertexOperator.ncoeffproof · cited by 4
- HVertexOperator.compHahnSeriesproof · cited by 4
- HVertexOperator.coeff_apply_applystatement and proof · cited by 3
- HVertexOperator.compHahnSeries_coeffstatement · cited by 2
- VertexOperator.ncoeff_applystatement · cited by 2
- VertexOperator.coeff_eq_ncoeffstatement and proof · cited by 1
- HVertexOperator.coeff_injstatement and proof · cited by 1
- HVertexOperator.compHahnSeries_smulproof · cited by 0
- HVertexOperator.of_coeff_coeffstatement · cited by 0
- VertexOperator.coeff_eq_zero_of_lt_orderstatement · cited by 0
- HVertexOperator.coeff_compstatement and proof · cited by 0
- HVertexOperator.coeff_inj_iffstatement and proof · cited by 0