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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] W

The 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
Assumes
PartialOrderCommRingAddCommGroupModuleAddCommGroupModule

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

VertexOperator.ncoeff · cited by 4VertexOperator.ncoeffHVertexOperator.compHahnSeries · cited by 4HVertexOperator.compHahnS…HVertexOperator.coeff_apply_apply · cited by 3HVertexOperator.coeff_app…HVertexOperator.compHahnSeries_coeff · cited by 2HVertexOperator.compHahnS…VertexOperator.ncoeff_apply · cited by 2VertexOperator.ncoeff_app…VertexOperator.coeff_eq_ncoeff · cited by 1VertexOperator.coeff_eq_n…HVertexOperator.coeff_inj · cited by 1HVertexOperator.coeff_injHVertexOperator.compHahnSeries_smul · cited by 0HVertexOperator.compHahnS…HVertexOperator.of_coeff_coeff · cited by 0HVertexOperator.of_coeff_…VertexOperator.coeff_eq_zero_of_lt_order · cited by 0VertexOperator.coeff_eq_z…HVertexOperator.coeff_comp · cited by 0HVertexOperator.coeff_compHVertexOperator.coeff_inj_iff · cited by 0HVertexOperator.coeff_inj…HVertexOperator.coeff_of_coeff · cited by 0HVertexOperator.coeff_of_…HVertexOperator.compHahnSeries_add · cited by 0HVertexOperator.compHahnS…DFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idCommRing · cited by 17173CommRingAddCommGroup · cited by 12871AddCommGroupLinearMap · cited by 10215LinearMapPartialOrder · cited by 6410PartialOrderEquiv.symm · cited by 3681Equiv.symmHahnSeries.coeff · cited by 235HahnSeries.coeffHahnModule · cited by 51HahnModuleHahnModule.of · cited by 43HahnModule.ofHVertexOperator · cited by 16HVertexOperatorHVertexOperator.coeffCITED BYCITES

Cites12

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Cited by14

Results whose statement or proof uses this declaration.